Mathematics: How to solve 2x(x+3)=2x^2+15

5) x = 0.756) x = 12Step-by-step explanation:5)Use geometric mean of altitude6)Use geometric mean of legs...

How to solve 2x(x+3)=2x^2+15 - id23221514118743, nando4786

shealene7

19.08.2021

x = 5/2 = 2.5

Step-by-step explanation:

Given expression

2x (x + 3) = 2x² + 15

Expand parentheses and apply the distributive property

2x · x + 2x · 3 = 2x² + 15

2x² + 6x = 2x² + 15

Subtract 2x² on both sides

2x² + 6x - 2x² = 2x² + 15 - 2x²

6x = 15

Divide 6 on both sides

6x / 6 = 15 / 6

x = 15/6

$\boxed{x=\frac{5}{2} }$

Hope this helps!! :)

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JonJon05

17.11.2021

5) x = 0.75

6) x = 12

Step-by-step explanation:

Use geometric mean of altitude

$12 = \sqrt{x^2 * 16^2} \\12^2 = x^2 * 16^2\\144 = 256x^2\\x = 0.75$

Use geometric mean of legs

$60^2 = \sqrt{(36+x)^2+36^2} \\3600 = (36+x)^2 + 36^2\\x=12$

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