Question
Solve the following quadratic equation by factoring. x2+3x=18 **Note: Please type your answers from least to greatest. For example, x1 would be the smallest solution and x2 would be your largest. (1 point) show all your work
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GPT 3.5
To solve the quadratic equation x^2 + 3x = 18 by factoring, we need to rearrange the equation to equal zero.
x^2 + 3x - 18 = 0
Now we will attempt to factor the quadratic expression on the left-hand side of the equation.
The factors of -18 that could sum up to 3 (the coefficient of x) are 6 and -3.
(x + 6)(x - 3) = 0
Now we set each factor equal to zero and solve for x.
x + 6 = 0
x = -6
x - 3 = 0
x = 3
Therefore, the solutions to the quadratic equation x^2 + 3x = 18 are x = -6 and x = 3.
x^2 + 3x - 18 = 0
Now we will attempt to factor the quadratic expression on the left-hand side of the equation.
The factors of -18 that could sum up to 3 (the coefficient of x) are 6 and -3.
(x + 6)(x - 3) = 0
Now we set each factor equal to zero and solve for x.
x + 6 = 0
x = -6
x - 3 = 0
x = 3
Therefore, the solutions to the quadratic equation x^2 + 3x = 18 are x = -6 and x = 3.
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