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Akimi4 [234]
3 years ago
13

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:

<em>6^2=36</em>

36=2(±x^2)

<em>/2       /2</em>

18=±x^2

<em>sqrt sqrt</em>

sqrt18=x

sqrt18=±3sqrt2

±3sqrt2=x

or

x=±3sqrt2

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