What is the value of z so that -9 and 9 are both solutions of x² + z = 103

Solution:

Given, x² + 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.

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What is the value of z so that -9 and 9 are both solutions of x² + z = 103

Summary:

The value of z so that -9 and 9 are both solutions of x² + z = 103 is 22.