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3 years ago

X^2 + x^2=6^2 what is x

Mathematics

2 answers:

nikitadnepr [17]3 years ago

5 0

Answer:

x = ±3 sqrt(2)

Step-by-step explanation:

x^2 + x^2=6^2

Combine like terms

2x^2 = 6^2

Divide each side by 2

x^2 = * 6^2/2

Take the square root of each side

sqrt(x^2) =± sqrt( 6^2/2)

Remember that sqrt(a/b) = ±sqrt(a ) /sqrt(b)

x = ±sqrt(6^2)/sqrt(2)

x = ±6 /sqrt(2)

We do not leave square roots in the denominator, so we multiply the top and bottom by sqrt(2)

x = ±6 /sqrt(2) * sqrt(2)/ sqrt(2)

x = ±6 *sqrt(2) /( sqrt(2)*sqrt(2))

x = ±6 sqrt(2) /(2)

x = ±3 sqrt(2)

Dmitrij [34]3 years ago

3 0

Answer:

x=±3sqrt2

Step-by-step explanation:

6^2=36

36=2(±x^2)

/2 /2

18=±x^2

sqrt sqrt

sqrt18=x

sqrt18=±3sqrt2

±3sqrt2=x

x=±3sqrt2

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lord [1]

Answer:

$\displaystyle \large{y=\dfrac{x^2}{4} + \dfrac{5x}{2} + \dfrac{5}{4}}$

Step-by-step explanation:

Given:

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To find:

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Solve for y-term:

$\displaystyle \large{(x+5)^2=(y+6)^2-(y+4)^2}\\\displaystyle \large{x^2+10x+25=y^2+12y+36-y^2-8y-16}\\\displaystyle \large{x^2+10x+25=4y+20}\\\displaystyle \large{x^2+10x+5=4y}\\\displaystyle \large{y=\dfrac{x^2}{4} + \dfrac{5x}{2} + \dfrac{5}{4}}$

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2 years ago

X^2 + x^2=6^2 what is x​

X^2 + x^2=6^2 what is x