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

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

or

x=±3sqrt2

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)