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:

(2x-1)(x-5)(x+2)=0 What is a positive root of the given equation?

(2x−1)(x−5)(x+2)=0 (2 x-1)(x-5)(x+2)=0 \newlineWhat is a positive root of the given equation?

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Algebra 1right chevron icon
Solve linear equations: mixed reviewright chevron icon

Full solution

Q. (2x−1)(x−5)(x+2)=0 (2 x-1)(x-5)(x+2)=0 \newlineWhat is a positive root of the given equation?
  1. Identify roots of equation: Identify the roots of the equation by setting each factor equal to zero.\newline(2x−1)=0(2x-1)=0, (x−5)=0(x-5)=0, and (x+2)=0(x+2)=0
  2. Solve first equation: Solve the first equation (2x−1)=0(2x-1)=0 for xx.2x−1=02x-1=02x=12x=1x=12x=\frac{1}{2}
  3. Solve second equation: Solve the second equation (x−5)=0(x-5)=0 for xx.x−5=0x-5=0x=5x=5
  4. Solve third equation: Solve the third equation (x+2)=0(x+2)=0 for xx.x+2=0x+2=0x=−2x=-2
  5. Identify positive roots: Identify the positive roots from the solutions found.\newlineThe positive roots are x=12x=\frac{1}{2} and x=5x=5.

More problems from Solve linear equations: mixed review

Question
Solve for x. \newline(34)x=12(\frac{3}{4})x= 12 \newlinex=x = ______
Get tutor helpright-arrow

Posted 8 months ago

Question
Solve for x. \newline−59x=15-\frac{5}{9}x= 15 \newlinex=x = ______
Get tutor helpright-arrow

Posted 7 months ago

Question
How many solutions does the following equation have?\newline5x+8−7x=−4x+15x+8-7x=-4x+1\newlineChoose 11 answer:\newline(A) No solutions\newline(B) Exactly one solution\newline(C) Infinitely many solutions
Get tutor helpright-arrow

Posted 10 months ago

Question
How many solutions does the following equation have?\newline−2z+10+7z=16z+7-2z+10+7z=16z+7\newlineChoose 11 answer:\newline(A) No solutions\newline(B) Exactly one solution\newline(C) Infinitely many solutions
Get tutor helpright-arrow

Posted 5 months ago

Question
How many solutions does the following equation have?\newline7(y−8)=7y+427(y-8)=7y+42\newlineChoose 11 answer:\newline(A) No solutions\newline(B) Exactly one solution\newline(C) Infinitely many solutions
Get tutor helpright-arrow

Posted 10 months ago

Question
How many solutions does the following equation have?\newline−9(x+6)=−9x+108-9(x+6)=-9x+108\newlineChoose 11 answer:\newline(A) No solutions\newline(B) Exactly one solution\newline(C) Infinitely many solutions
Get tutor helpright-arrow

Posted 10 months ago

Question
How many solutions does the following equation have?\newline−6(x+7)=−4x−2-6(x+7)=-4x-2\newlineChoose 11 answer:\newline(A) No solutions\newline(B) Exactly one solution\newline(C) Infinitely many solutions
Get tutor helpright-arrow

Posted 10 months ago

Question
How many solutions does the following equation have?\newline−4x−7+10x=−7+6x-4x-7+10x=-7+6x\newlineChoose 11 answer:\newline(A) No solutions\newline(B) Exactly one solution\newline(C) Infinitely many solutions
Get tutor helpright-arrow

Posted 10 months ago

Question
How many solutions does the following equation have?\newline−17(y−2)=−17y+64-17(y-2)=-17y+64\newlineChoose 11 answer:\newline(A) No solutions\newline(B) Exactly one solution\newline(C) Infinitely many solutions
Get tutor helpright-arrow

Posted 10 months ago

Question
How many solutions does the following equation have?\newline9z−6+7z=16z−69z-6+7z=16z-6\newlineChoose 11 answer:\newline(A) No solutions\newline(B) Exactly one solution\newline(C) Infinitely many solutions
Get tutor helpright-arrow

Posted 10 months ago

View all (270)

Related topics

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