Mathematics: Which of the following could be the solution set to 8x² - 2x = 1? a. {-1/4, -1/2} b. {-1/4, 1/2} c. {1/4, 1/2}

Which of the following could be the solution set

xarianna2007

13.07.2020

The answer is B: (-1/4, 1/2)

0,0(0 оценок)

BreBreDoeCCx

15.03.2022

$\text{The solution set is }\{\frac{-1}{4}, \frac{1}{2}\}$

Step-by-step explanation:

Given the equation

8x^2-2x=1

we have to find the solution of above equation.

Expression: 8x^2-2x=1

8x^2-2x-1=0

8x^2-4x+2x-1=0

4x(2x-1)+1(2x-1)=0

(4x+1)(2x-1)=0

$x=\frac{-1}{4}, \frac{1}{2}$

$\text{The solution set is }\{\frac{-1}{4}, \frac{1}{2}\}$

Option B is correct

0,0(0 оценок)

Kinglilray998

12.10.2021

Split the equation into two separate equations (one with a positive and one with a negative), and then solve both equations.

POSITIVE:

2b - 9 = b - 6

b = 3

NEGATIVE:

2b - 9 = -(b - 6)

2b - 9 = -b + 6

3b = 15

b = 5

b=3, b=5

0,0(0 оценок)