Find all solutions to the equation $x^2 - 7x = 30$. If you find more than one, then list the values separated by commas. If the solutions are not real, then they should be written in $a + bi$ form.

Answer:-3, 10

Step-by-step explanation:

Subtracting 30 from both sides gives x^2 - 7x - 30 = 0. The quadratic factors as

(x - 10)(x + 3) = 0, so the solutions are x = 10 and x = -3.

Instead of factoring, we also could have applied the quadratic formula with a = 1, b = -7, and c = -30:

The solutions to the equation x² - 7x = 30 are -3 and 10.

Solutions are the values of an equation where the values are substituted in the variables of the equation and make the equality in the equation true.

We have,

x² - 7x = 30

x² - 7x - 30 = 0

Middle-term factorization.

x² - (10 - 3)x - 30 = 0

x² - 10x + 3x - 30 = 0

x(x - 10) + 3(x - 10) = 0

(x + 3) (x - 10) = 0

x + 3 = 0

x = -3

x - 10 = 0

x = 10

Thus,

The solutions are -3 and 10.

Learn more about solutions of equations here:

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