what is the value of z so that -9 and 9 are both solutions of x^2+z=103?
x^2 = 103 - z
if ±9 is the solution for the above, we must have had
x^2 = 81
then 103 - z = 81
solve for z
To find the value of z so that -9 and 9 are both solutions of x^2 + z = 103, we can use the fact that if a number is a solution to an equation, then when we substitute that number into the equation, the equation will hold true.
Let's substitute -9 into the equation:
(-9)^2 + z = 103
Simplifying:
81 + z = 103
Now we can solve for z:
z = 103 - 81
z = 22
Therefore, the value of z that satisfies the equation x^2 + z = 103 with -9 and 9 as solutions is z = 22.