Question

Solve for x. Leave your answer in simplest radical form

Answer 1

√35

Explanation:

10² = y² + 4²

100 = y² + 16

100 – 16 = y²

84 = y²

y = √84

y² = x² + 7²

(√84)² = x² + 49

84 = x² + 49

84 – 49 = x²

35 = x²

x = √35

Answer 2

x = √35

Explanation:

Please see attached photo for explanation.

We'll begin calculating the value of y. This can be obtained as follow:

10² = y² + 4²

100 = y² + 16

Collect like terms

100 – 16 = y²

84 = y²

Take the square root of both side

y = √84

Finally, we shall determine the value of x. This can be obtained as follow:

y² = x² + 7²

(√84)² = x² + 49

84 = x² + 49

Collect like terms

84 – 49 = x²

35 = x²

Take the square root of both side

x = √35