Question

Solve for x: −3(x − 2)2 + 17 = 0

Round your answer to the nearest hundredth.

x = 0.38, −4.38
x = 3.67, −7.67
x = 4.38, −0.38
x = 7.67, −3.67

Answer 1

Answer:

"x = 4.38, −0.38"

Step-by-step explanation:

The equation to solve is a quadratic:

$-3(x-2)^{2}+17=0$

We take -17 to the other side and divide by -3 and solve by taking square root and be sure to take + and - solutions:

$-3(x-2)^{2}+17=0\\-3(x-2)^{2}=-17\\(x-2)^{2}=5.67\\x-2=+-\sqrt{5.67} \\x-2=+-2.38\\x=2.38+2=4.38\\x=-2.38+2=-0.38$

Hence, the solutions are x = 4.38 and -0.38

Answer 2

Answer: "x = 4.38, −0.38"

Step-by-step explanation:

The equation to solve is a quadratic:

-3(x-2)^{2}+17=0

We take -17 to the other side and divide by -3 and solve by taking square root and be sure to take + and - solutions:

Also. I took the test

:D

Step-by-step explanation: