Solve the radical equation. x+1= square root of -6x-6

Step-by-step explanation:

Step1: isolate the square root on the left hand side.

Original equation :x+1=√-6x-6

Isolate :x+1=√-6x-6.

Step2: raise both sides to the second power.

(x+1)^2=(√-6x-6)^2

(x+1)(x+1)=-6x-6

Step3: after squaring, solve the quadratic equation.

x^2+2x-1=-6x-6

x^2+8x+7=0

x^2+7x+x+7=0

x(x+7)+1(x+7)=0

(x+1)(x+7)=0

x=-1,-7

Step4:check that the first solution correct.

Input x=-1 into the original equation

x+1=√-6x-6

-1+1=√+6-6

0=0

Step5:check that the second equation is correct.

Input x=-7 into the original equation

x+1=√-6x-6

-7+1=√42-6

-6=√36

-6#6

Therefore one solution is found.

x=-1

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