Supply the number so that the quadratic equation below has 6 and 8 as its solutions. x^ 2 -14x+ Box=8

1 answer

To find the missing number (Box), we can use the fact that if 6 and 8 are solutions of the quadratic equation, then when we plug them into the equation, it should be equal to zero.

Given quadratic equation: x^2 - 14x + Box = 8

Plugging in x = 6: (6)^2 - 14(6) + Box = 8
36 - 84 + Box = 8
Box - 48 = 8
Box = 8 + 48
Box = 56

So, the missing number (Box) is 56.