Xsquared minus 7x plus 10 equals 28?

Answer 1

x2 - 7x + 10 = 28; whence,

x2 - 7x - 18 = 0, and

(x - 9)(x + 2) = 0.

The above is true exactly when, either,

x - 9 = 0, or

x + 2 = 0.

Therefore, the solution is:

x = 9 or -2.

Checking,

92 - (7)(9) + 10 = 81 - 63 + 10 = 28; and

(-2)2 - (7)(-2) + 10 = 4 + 14 + 10 = 28;

verifying the solution found above.