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3 years ago

Rewrite the equation by completing the square. x^2 + 7x + 12 = 0

Mathematics

2 answers:

vfiekz [6]3 years ago

8 0

Answer:

(x + $\frac{7}{2}$ )² - $\frac{1}{4}$ = 0

Step-by-step explanation:

Given

x² + 7x + 12 = 0

To complete the square

add/subtract ( half the coefficient of the x- term)² to x² + 7x

x² + 2( $\frac{7}{2}$ )x + $\frac{49}{4}$ - $\frac{49}{4}$ + 12 = 0

(x + $\frac{7}{2}$ )² - $\frac{49}{4}$ + $\frac{48}{4}$ = 0 , that is

(x + $\frac{7}{2}$ )² - $\frac{1}{4}$ = 0

german3 years ago

3 0

Answer:

x^2 + 7x + 12 = 0

x^2 + 7x = -12

(+3)(+4)=0

=−3

=−4

I also love r o blox

Hope This Helps!!!

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3 years ago

What are three consecutive integers whose product is 480 more than their sum?

Natali [406]

Answer:

The three numbers are 7 8 and 9

Step-by-step explanation:

Givens

Let the first number be n - 1
Let the second number be n
Let the third number = n + 1

Equation

(n - 1)(n)(n + 1) - (n-1 + n + n+1) = 480

Solution

Multiply (n - 1) and (n + 1) = (n - 1)*(n + 1) = n^2 - 1

Multiply the second integer by the result of the first and third: n (n^2 - 1)

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n^3 - 4n = 480

n^3 - 4n - 480 = 0

Graph

The graph shows that the intercept point is n =8. This is the only way I can see to solve this cubic. There are no other real roots.

Answer

n - 1 = 7

n = 8

n + 1 = 9

Check

Product 7*8*9 = 504

Sum = 7 + 8 + 9 = 24

504 - 24 = 480 Which checks.

4 0

3 years ago

What are the zeros of the quadratic function f(x) = 2x2 – 10x – 3?

Ipatiy [6.2K]

Answer:

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Step-by-step explanation:

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$x = \frac{ 5 \ + \ \sqrt{31}}{2} \ , \ x = \frac{ 5 \ - \ \sqrt{31}}{2}$

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