Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

What is the discriminant of the quadratic equation
2x^(2)+6x-1=0 ?
44

-44

-28
28

What is the discriminant of the quadratic equation $2 x^{2}+6 x-1=0$ ? $\newline$ $44$ $\newline$ $-44$ $\newline$ $-28$ $\newline$ $28$

View step-by-step help

View step-by-step help

Using the discriminant

Full solution

Q. What is the discriminant of the quadratic equation

2 x^{2}+6 x-1=0

?

\newline

44

\newline

-44

\newline

-28

\newline

28

Identify values of $a$ , $b$ , $c$ : Identify the values of $a$ , $b$ , and $c$ from the quadratic equation in the form $ax^2 + bx + c = 0$ . Comparing $2x^2 + 6x - 1 = 0$ with $ax^2 + bx + c = 0$ , we find: $a = 2$ $b$ $0$ $b$ $1$
Calculate the discriminant: Calculate the discriminant using the formula $D = b^2 - 4ac$ . Substitute $2$ for $a$ , $6$ for $b$ , and $-1$ for $c$ in the formula. $D = (6)^2 - 4 \times 2 \times (-1)$
Perform calculations to find value: Perform the calculations to find the value of the discriminant. $\newline$ $D = 36 - 4 \times 2 \times (-1)$ $\newline$ $D = 36 + 8$ $\newline$ $D = 44$

More problems from Using the discriminant

Question

v

\newline

v^2+8v+12=0

\newline

Write each solution as an integer, proper fraction, or improper fraction in simplest form. If there are multiple solutions, separate them with commas.

\newline

v=

Posted 3 months ago

Question

u

\newline

u^2 = 9

\newline

Write your answers as integers or as proper or improper fractions in simplest form.

\newline

u =

u =

Posted 8 months ago

Question

Complete the square. Fill in the number that makes the polynomial a perfect-square quadratic.

\newline

k^2 - 20k + \_\_\_\_\_

Posted 8 months ago

Question

Solve by completing the square.

\newline

u^2 - 24u - 23 = 0

\newline

Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.

\newline

`u` = ________ or `u` =______

Posted 5 months ago

Question

Find the discriminant.

\newline

2q^2 - 9q + 8 = 0

\newline

Posted 4 months ago

Question

Solve the system of equations.

\newline

y = 22x - 38

\newline

y = x^2 + 11x - 14

\newline

Write the coordinates in exact form. Simplify all fractions and radicals.

\newline

(\_,\_)

\newline

(\_,\_)

Posted 5 months ago

Question

a

\newline

(a + 5)(a + 1) = 0

\newline

Write your answers as integers or as proper or improper fractions in simplest form.

\newline

a =

a =

Posted 8 months ago

Question

p=x^{2}-7

. Which equation is equivalent to

(x^{2}-7)^{2}-4x^{2}+28=5

p

1

\newline

p^{2}-4p+23=0

\newline

p^{2}+4p-5=0

\newline

p^{2}-4p-5=0

\newline

p^{2}+4p+23=0

Posted 8 months ago

Question

m=2x+3

. Which equation is equivalent to

(2x+3)^{2}-14x-21=-6

m

1

\newline

m^{2}+7m+6=0

\newline

m^{2}-7m-15=0

\newline

m^{2}-7m+6=0

\newline

m^{2}+7m-15=0

Posted 8 months ago

Question

m=x^{2}+3

. Which equation is equivalent to

(x^{2}+3)^{2}+7x^{2}+21=-10

m

1

\newline

m^{2}-7m+31=0

\newline

m^{2}+7m+31=0

\newline

m^{2}-7m+10=0

\newline

m^{2}+7m+10=0

Posted 9 months ago

Related topics

Algebra - Order of Operations Algebra - Distributive Property `X` and `Y` Axes Geometry - Scalene Triangle Common Multiple Geometry - Quadrant