SOLUTION: What are all solutions of 3/4(x+1)^2=9

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Question 75531: What are all solutions of 3/4(x+1)^2=9
Answer by chitra(359) About Me  (Show Source):
You can put this solution on YOUR website!
The solutions of 3/4(x+1)^2=9

The given equation is 3%28x+%2B+1%29%5E2%2F4 = 9

This can be written as 3%28x+%2B+1%29%5E2+=+36

Simplifying this further, we get:

3%28x%5E2+%2B+1+%2B+2x%29=+36

3x%5E2+%2B+3+%2B+6x+-+36+=+0

3x%5E2+%2B+6x+-+33+=+0

This can be solved by using the quadratic formula.

x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+

Hence, the roots of the equation are:

x+=+%28-6+%2B-+sqrt%28+6%5E2-4%2A%283%29%2A%28-33%29+%29%29%2F%282%2A3%29+

x+=+%28-6+%2B-+sqrt%2836+-+%28-396%29%29%29%2F%286%29+

x+=+%28-6+%2B-+sqrt%28432%29%29%2F6

x+=+%28-6+%2B-+sqrt%2836+X+12%29%29%2F6

x+=+%28-6+%2B-+6+sqrt%2812%29%29%2F6

x+=+-1+%2B-+sqrt%2812%29

hence, the solution