Which of the following is a solution of the equation x2−13x+40=0𝑥2-13𝑥+40=0? 5 -8 4 10
Question
Which of the following is a solution of the equation ?
- 5
- -8
- 4
- 10
Solution
The equation is a quadratic equation and can be solved by factoring.
The equation is x^2 - 13x + 40 = 0.
We need to find two numbers that multiply to 40 (the constant term) and add to -13 (the coefficient of the x term).
Those two numbers are -8 and -5.
So, the equation factors to (x - 8)(x - 5) = 0.
Setting each factor equal to zero gives the solutions x = 8 and x = 5.
So, the solutions to the equation x^2 - 13x + 40 = 0 are 5 and 8.
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