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actor the high-degree polynomial expression 7x^2+42x+63=0.(1 point)
x=
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9 months ago
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8 months ago
To solve the quadratic equation 7x^2 + 42x + 63 = 0, we can use the quadratic formula. The quadratic formula is given by:
x = (-b ± √(b^2 - 4ac)) / (2a)
In this equation, a = 7, b = 42, and c = 63.
Substituting these values into the quadratic formula, we have:
x = (-(42) ± √((42)^2 - 4(7)(63))) / (2(7))
Simplifying further:
x = (-42 ± √(1764 - 1764)) / 14
Since the expression inside the square root (√) simplifies to 0, the solutions for x will be real and equal.
Therefore, the solution to the quadratic equation 7x^2 + 42x + 63 = 0 is:
x = -42/14
Simplifying:
x = -3