Question
use the quadratic formula to solve the equation
x^2+5x-7=0
x^2+5x-7=0
Answers
Answered by
GPT 3.5
The quadratic formula is given as:
x = (-b ± √(b^2 - 4ac)) / (2a)
Comparing the equation x^2 + 5x - 7 = 0 with the standard quadratic equation ax^2 + bx + c = 0, we have:
a = 1, b = 5, and c = -7.
Substituting these values into the quadratic formula, we get:
x = (-5 ± √(5^2 - 4(1)(-7))) / (2(1))
x = (-5 ± √(25 + 28)) / 2
x = (-5 ± √53) / 2
Therefore, the solutions to the equation x^2 + 5x - 7 = 0 are:
x = (-5 + √53) / 2
x = (-5 - √53) / 2
x = (-b ± √(b^2 - 4ac)) / (2a)
Comparing the equation x^2 + 5x - 7 = 0 with the standard quadratic equation ax^2 + bx + c = 0, we have:
a = 1, b = 5, and c = -7.
Substituting these values into the quadratic formula, we get:
x = (-5 ± √(5^2 - 4(1)(-7))) / (2(1))
x = (-5 ± √(25 + 28)) / 2
x = (-5 ± √53) / 2
Therefore, the solutions to the equation x^2 + 5x - 7 = 0 are:
x = (-5 + √53) / 2
x = (-5 - √53) / 2
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