Resourcesdown chevron
Testimonials
Plans
Sign in
Sign up
Resourcesright arrow
Testimonials
Plans
Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Find the zeros of the function. Enter the solutions from least to greatest. {:[f(x)=5x^(2)-20],[" lesser "x=◻],[" greater "x=◻]:}

Find the zeros of the function. Enter the solutions from least to greatest.\newlinef(x)=5x2−20lesser x=□greater x=□\begin{array}{l} f(x)=5x^{2}-20 \text{lesser } x=\square \text{greater } x=\square \end{array}

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Algebra 2right chevron icon
Solve a quadratic equation using square rootsright chevron icon

Full solution

Q. Find the zeros of the function. Enter the solutions from least to greatest.\newlinef(x)=5x2−20lesser x=□greater x=□\begin{array}{l} f(x)=5x^{2}-20 \text{lesser } x=\square \text{greater } x=\square \end{array}
  1. Find zeros of the function: Set the function equal to zero to find its zeros.\newlinef(x)=5x2−20=0f(x) = 5x^2 - 20 = 0
  2. Factor out common factor: Factor out the common factor of 55 from the quadratic equation.5(x2−4)=05(x^2 - 4) = 0
  3. Apply zero product property: Apply the zero product property, which states that if a product of factors equals 00, then at least one of the factors must be 00.\newlinex2−4=0x^2 - 4 = 0
  4. Factor the difference of squares: Factor the difference of squares. (x−2)(x+2)=0(x - 2)(x + 2) = 0
  5. Solve for x in each factor: Set each factor equal to zero and solve for x.\newlinex−2=0x - 2 = 0 or x+2=0x + 2 = 0
  6. Solve for x in each factor: Set each factor equal to zero and solve for x. \newlinex−2=0x - 2 = 0 or x+2=0x + 2 = 0 Solve the first equation for x. \newlinex−2=0x - 2 = 0 \newlinex=2x = 2
  7. Solve for x in each factor: Set each factor equal to zero and solve for x. \newlinex−2=0x - 2 = 0 or x+2=0x + 2 = 0 Solve the first equation for x. \newlinex−2=0x - 2 = 0 \newlinex=2x = 2 Solve the second equation for x. \newlinex+2=0x + 2 = 0 \newlinex=−2x = -2

More problems from Solve a quadratic equation using square roots

Question
Solve by completing the square.\newlinem2−10m−29=0m^2 - 10m - 29 = 0\newlineWrite your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.\newline`m` = ____ or `m` = _____
Get tutor helpright-arrow

Posted 8 months ago

Question
Find g(x) g(x) , where g(x) g(x) is the translation 5 5 units up of f(x)=x2 f(x)=x^2 .\newlineWrite your answer in the form a(x–h)2+k a(x–h)^2+k , where a a , h h , and k k are integers.\newlineg(x)= g(x)= ____
Get tutor helpright-arrow

Posted 7 months ago

Question
What is the range of this quadratic function?\newliney=x2−4x+4y = x^2 - 4x + 4\newlineChoices:\newline{y∣y≥2}\left\{y \mid y \geq 2\right\}\newline{y∣y≤0}\left\{y \mid y \leq 0\right\}\newline{y∣y≥0}\left\{y \mid y \geq 0\right\}\newlineall real numbers\text{all real numbers}
Get tutor helpright-arrow

Posted 5 months ago

Question
Write the equation of the parabola that passes through the points (1,0)(1,0), (2,0)(2,0), and (3,–16)(3,\text{–}16). Write your answer in the form y=a(x–p)(x–q)y = a(x – p)(x – q), where aa, pp, and qq are integers, decimals, or simplified fractions.\newline______
Get tutor helpright-arrow

Posted 5 months ago

Question
Complete the square. Fill in the number that makes the polynomial a perfect-square quadratic.\newlinef2+8f+_____f^2 + 8f + \_\_\_\_\_
Get tutor helpright-arrow

Posted 5 months ago

Question
Solve for h h .\newlineh2+39h=0 h^2 + 39h = 0 \newline\newlineWrite each solution as an integer, proper fraction, or improper fraction in simplest form. If there are multiple solutions, separate them with commas.\newlineh= h = ____\newline
Get tutor helpright-arrow

Posted 5 months ago

Question
Write a quadratic function with zeros −9-9 and −7-7.\newlineWrite your answer using the variable xx and in standard form with a leading coefficient of 11.\newlinef(x)=_____f(x) = \_\_\_\_\_
Get tutor helpright-arrow

Posted 5 months ago

Question
Find the equation of the axis of symmetry for the parabola y=x2y = x^2. \newlineSimplify any numbers and write them as proper fractions, improper fractions, or integers.\newline‾\underline{\hspace{3cm}}
Get tutor helpright-arrow

Posted 4 months ago

Question
Find g(x)g(x), where g(x)g(x) is the translation 88 units up of f(x)=x2f(x) = x^2.\newlineWrite your answer in the form a(x–h)2+ka(x – h)^2 + k, where aa, hh, and kk are integers.\newlineg(x)=g(x) = ______\newline
Get tutor helpright-arrow

Posted 4 months ago

Question
Solve for xx.\newlinex2=1x^2 = 1\newline\newlineWrite your answer in simplified, rationalized form.\newlinex=x = ______ or x=x = ______\newline
Get tutor helpright-arrow

Posted 5 months ago

View all (39)

Related topics

Algebra - Order of OperationsAlgebra - Distributive Property`X` and `Y` AxesGeometry - Scalene TriangleCommon MultipleGeometry - Quadrant