SOLUTION: 4. Find the solution set for the following equation. Check for extraneous solutions: Square root of 8

SOLUTION: 4. Find the solution set for the following equation. Check for extraneous solutions: Square root of 8 - 7x = -2(x + 1)

Question 37765: 4. Find the solution set for the following equation. Check for extraneous solutions:

Square root of 8 - 7x = -2(x + 1)
Answer by fractalier(6550) (Show Source): You can put this solution on YOUR website!
From
sqrt(8 - 7x) = -2(x + 1)
Let us square both sides first
8 - 7x = 4(x + 1)^2
8 - 7x = 4(x^2 + 2x + 1)
8 - 7x = 4x^2 + 8x + 4
now collect like terms and solve
4x^2 + 15x - 4 = 0
(4x - 1)(x + 4) = 0
x = 1/4 or x = -4
You plug them in to the original equation to check.
x = 1/4 does not work but x = -4 does.
RELATED QUESTIONS
Solve the equation. Check for extraneous solutions. square root of 5x+1 =... (answered by oscargut)

Solve the following equation and check for extraneous solutions: Squareroot of 6 - x - (answered by stanbon)

slove the radical equation algebraically and check for extraneous solutions the square (answered by stanbon)

find the solution set of square root of (2t+4)= square root of (t-1) and check for... (answered by tommyt3rd)

Solve the equation x+3=the square root of 7x+29 and check for extraneous roots (answered by ankor@dixie-net.com)

Solve the equation. Check for extraneous solutions. Square root of (x+6)=x A. no... (answered by checkley75)

Solve the equation and check for extraneous solutions. square root 9a^2 +a-7 =... (answered by mathdoc314)

I need to solve the equation square root of x+56=x and i ned to check for extraneous... (answered by venugopalramana)

Solve the equation x+3=the square root of 7x+29 and check for extraneous roots I... (answered by richwmiller)