Solve the following quadratic equation using square roots: −9 (x−3)2−4=−4 .(1 point) Responses {8,−2} left brace 8 comma negative 2 right brace {2,−8} left brace 2 comma negative 8 right brace {28,−22} left brace 28 comma negative 22 right brace {16,−10}

7 answers

Starting with the given equation:

−9(x−3)2−4=−4

Add 4 to both sides:

−9(x−3)2=0

Divide both sides by -9:

(x−3)2=0

Take the square root of both sides:

x−3=0

Add 3 to both sides:

x=3

The solution is x = 3.
incorrect
Apologies for the mistake.

Starting with the given equation:

−9(x−3)²−4=−4

Add 4 to both sides:

−9(x−3)²=0

Divide both sides by -9:

(x−3)²=0

Take the square root of both sides:

x−3=0

Add 3 to both sides:

x=3

The solution is x = 3.

It seems I made the same mistake. Let's try again.

Starting with the given equation:

−9(x−3)²−4=−4

Add 4 to both sides:

−9(x−3)²=0

Divide both sides by -9:

(x−3)²=0

Take the square root of both sides:

x−3=±√0

Since the square root of 0 is 0, we have:

x−3=0

Add 3 to both sides:

x=3

The solution is x = 3.
im smarter than you
I apologize if I made a mistake. Can you please show me the correct solution?
Solve the following quadratic equation using square roots: −9 (x−3)2−4=−4 .(1 point)
I apologize for my previous mistakes. Let's solve the quadratic equation correctly this time.

Starting with the given equation:

−9(x−3)²−4=−4

Add 4 to both sides:

−9(x−3)² = 0

Divide both sides by -9:

(x−3)² = 0

Take the square root of both sides:

√((x−3)²) = √(0)

Simplifying:

x−3 = 0

Add 3 to both sides:

x = 3

The solution to the quadratic equation is x = 3.
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