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2 years ago

Determine the solution to the equation x²6x=-13

Mathematics

1 answer:

Citrus2011 [14]2 years ago

3 0

Answer:

x = $\frac{\sqrt[3]{468}}{6}$

or x =~ -1.29399

Step-by-step explanation:

Calculate the product. x^2 * 6x = 6x^3

divide both sides by 6. x^3 = -13/6

Take the root of both sides. x = $\frac{\sqrt[3]{468}}{6}$

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$\sf\huge\underline{\star Solution:-}$

$\rightarrow$ <u>Ratio of two angles are 6:13.</u>

So, let the one angle be $\sf{6x}$ and another be $\sf{13x.}$

As we know that,

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So let's sum up the given angles,

$\rightarrow$ $\sf{222°+81°+6x+13x \:=\: 360°}$

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$\rightarrow$ $\sf{19x \:=\: 360-303}$

$\rightarrow$ $\sf{19x \:=\: 57}$

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So, First angle $\sf{= \:6x\: = \:6×3 \:=}$ $\sf\purple{18°.}$

Second angle $\sf{= \:13x\: = \:13×3 \:=}$ $\sf\purple{39°.}$

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