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3 years ago

Solve using completing the square method 12 x square + 7 x square - 12 is equals to zero

Mathematics

1 answer:

Nastasia [14]3 years ago

8 0

Answer:

x = -4/3 or 3/4

Step-by-step explanation:

To solve the equation by completing the square, it is convenient to have the leading coefficient be 1. Accordingly, we divide the equation by 12:

x^2 +7/12x -1 = 0

Add the constant.

x^2 +7/12x = 1

Add the square of half the x-coefficient.

x^2 +7/12x +49/576 = 1 +49/576

Write the left side as a square; simplify the right side.

(x +7/24)^2 = 625/576

Take the square root.

x +7/24 = ±25/24

x = (-7 ±25)/24

x = -4/3 or 3/4

_____

These solutions suggest the equation could be factored as ...

(3x +4)(4x -3) = -0

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c) 100

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 105.3

Standard Deviation, σ = 8

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3 0

2 years ago

Please help thank you.

alekssr [168]

Hello!

First you have to find BO

BC = 27
AO = CO
CO = 24

BO = 27 + 24

BO = 51

Now we use the Pythagorean Theorem

24^2 + b^2 = 51^2

Square the numbers

576 + b^2 = 2601

Subtract 576 from both sides

b^2 = 2025

Take the square root

b = 45

The answer is A) 45

Hope this helps!

6 0

3 years ago

Solve using completing the square method 12 x square + 7 x square - 12 is equals to zero​

Solve using completing the square method 12 x square + 7 x square - 12 is equals to zero