Mathematics: 2. Solve the equation by completing the square. Round to the nearest hundredth if necessary. x2 – 3x – 12 = 0 A. 3.12, 3.77 B. –12.75, 15.75 C. 5.27, –2.27 D. 4.74, –1.74

It would be C, because since the amount of chairs is equal to double the amount of desks, plus 5, the two outside the parentheses means the desks is being doubled, plus the 5....

2. Solve the equation by completing the square.

Ответ:

dounutalien

09.08.2021

Mathematics

Step-by-step explanation:

Given

x² - 3x - 12 = 0 ( add 12 to both sides )

x² - 3x = 12

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- $\frac{3}{2}$ )x + $\frac{9}{4}$ = 12 + $\frac{9}{4}$

(x - $\frac{3}{2}$ )² = $\frac{57}{4}$ ( take the square root of both sides )

x - $\frac{3}{2}$ = ± $\sqrt{\frac{57}{4} }$ = ± $\frac{\sqrt{57} }{2}$ ( add $\frac{3}{2}$ to both sides )

x = $\frac{3}{2}$ ± $\frac{\sqrt{57} }{2}$

Then

x = $\frac{3}{2}$ + $\frac{\sqrt{57} }{2}$ ≈ 5.27 ( to the nearest hundredth )

x = $\frac{3}{2}$ - $\frac{\sqrt{57} }{2}$ ≈ - 2.27 ( to the nearest hundredth )

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2. Solve the equation by completing the square. Round to the nearest hundredth if necessary. x2 – 3x – 12 = 0

A. 3.12, 3.77
B. –12.75, 15.75
C. 5.27, –2.27
D. 4.74, –1.74

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