# What is the value of z so that -9 and 9 are both solutions of x^{2} + z = 103

**Solution:**

Given, x^{2} + z = 103

The solutions of the equation are -9 and 9.

When x = -9,

⇒ (-9)^{2} + z = 103

⇒ 81 + z = 103

⇒ z = 103 - 81

⇒ z = 22

When x = 9,

⇒ (9)^{2} + z = 103

⇒ 81 + z = 103

⇒ z = 103 - 81

⇒ z = 22

Therefore, the value of z is 22.

## What is the value of z so that -9 and 9 are both solutions of x^{2} + z = 103

**Summary:**

The value of z so that -9 and 9 are both solutions of x^{2} + z = 103 is 22.

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