The other solution to the quadratic equation is -0.57 option (C) -0.57 is correct.
What is a quadratic equation?
Any equation of the form [tex]\rm ax^2+bx+c=0[/tex] where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
As we know, the formula for the roots of the quadratic equation is given by:
[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]
We have a quadratic equation:
5x² + 45x + 24 = 0
After comparing the standard form of the quadratic equation:
ax² + bx + c = 0
a, b, and c are real numbers.
a = 5
b = 45
c = 24
[tex]\rm x = \dfrac{-(45) \pm\sqrt{(45)^2-4(5)(24)}}{2(5)}[/tex]
After solving:
x = (-45 ± √1545)/10
x = (-45 ± 39.30)/10
x = (-45 + 39.90)/10
x = -0.57
x = (-45 - 39.90)/10
x = -8.43
Thus, the other solution to the quadratic equation is -0.57 option (C) -0.57 is correct.
Learn more about quadratic equations here:
brainly.com/question/2263981
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