Question

X^2 + x^2=6^2 what is x​

Answer 1

x=±3sqrt2

Explanation:

6^2=36

36=2(±x^2)

/2 /2

18=±x^2

sqrt sqrt

sqrt18=x

sqrt18=±3sqrt2

±3sqrt2=x

or

x=±3sqrt2

Answer 2

x = ±3 sqrt(2)

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)