Home > Algebra > Comparing Methods for Solving Quadratics

How do you solve #-2(x+1)^2 = -10#?

Answer 1

Avery Alexander

#x=+-sqrt5-1#

#color(blue)"Isolate " (x+1)^2#

#"divide both sides by " -2#

#(cancel(-2)(x+1)^2)/cancel(-2)=(-10)/(-2)#

#rArr(x+1)^2=5#

#color(blue)"take the square root of both sides"#

#sqrt((x+1)^2)=+-sqrt5#

#rArrx+1=+-sqrt5#

#rArrx=+-sqrt5-1larrcolor(red)" exact value solutions"#

By signing up, you agree to our Terms of Service and Privacy Policy

Answer 2

Kennedy Adams

To solve the equation -2(x + 1)^2 = -10:

Divide both sides of the equation by -2 to isolate the squared term: (x + 1)^2 = -10 / -2 (x + 1)^2 = 5
Take the square root of both sides of the equation: x + 1 = ±√5
Subtract 1 from both sides to solve for 'x': x = -1 ± √5

Therefore, the solutions to the equation -2(x + 1)^2 = -10 are x = -1 + √5 and x = -1 - √5.

By signing up, you agree to our Terms of Service and Privacy Policy

Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.