Question

I would be GREATLY appreciative if you helped me out. Oh and also I WILL GIVE BRAINLIEST.
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:

• C. x = 4.38, −0.38

Step-by-step explanation:

• -3(x - 2)² + 17 = 0
• -3(x - 2)² = - 17
• (x - 2)² = 17/3
• x - 2 = ± $\sqrt{17/3}$
• x - 2 = ± 2.38
• x = 2 + 2.38 = 4.38 or x = 2 - 2.38 = -0.38

Correct choice is C

Answer 2

Answer:

$x = 4.38$

Step-by-step explanation:

Solve the equation:

$- 3(x - 2)2 + 17 = 0x$

Apply multiplicative distribution law:

$- (3x - 6) \times 2 + 17 = 0$

Apply muliplicative distribution law:

$- 6x + 12 + 17 = 0$

Rearrange unknown terms to the left side of the equation:

$- 6x = - 12 - 17$

Calculate the sum or difference:

$- 6x = - 29$

Divide both sides of the equation by the coefficienr of variable:

$x = - 29 \div ( - 6)$

Calculate:

$x = \frac{29}{6}$

Round the number:

$x = \frac{29}{6} \\ 0.01$

Round the number:

$x = 4.38$