Question

Solve the following quadratic equation using square roots: −9+(x−3)2−4=−4%0D%0A−%0D%0A9%0D%0A+%0D%0A(%0D%0A%0D%0A−%0D%0A3%0D%0A)%0D%0A2%0D%0A−%0D%0A4%0D%0A=%0D%0A−%0D%0A4%0D%0A .

Answer 1

[AI-generated answer — Bot GPT 3.5]

To solve the quadratic equation using square roots, we need to isolate the squared term first.

Given equation: −9+(x−3)2−4=-4

Combine like terms:
(x-3)2-13=-4

Add 13 to both sides of the equation:
(x-3)2=-4+13
(x-3)2=9

Now, take the square root of both sides of the equation:
√[(x-3)2]=√9
(x-3)=±3

Solve for x using the positive and negative square roots:
x-3=3
x=3+3
x=6

x-3=-3
x=-3+3
x=0

Therefore, the solutions to the quadratic equation are x=6 and x=0.