Answer:
Please review the equation format. I made an assumption (below) for this answer.
-0.57
Step-by-step explanation:
5x2 45x 24 = 0 is not a quadratic formula,
5x^2 + 45x + 24 = 0 is, however. Also, it gives -.8.43 as one solution. The other is −0.569351, or -0.57 to the nearest hundredth.
The other solution of the given quadratic equation would be -0.57
Quadratic Equation
An algebraic equation of the second degree in x is known as a quadratic equation. The quadratic equation is written as ax² + bx + c = 0, where x is the variable, a and b are the coefficients, and c is the constant term.
The given quadratic equation is,
5x² + 45x + 24 = 0
Here,
a = 5
b = 45
c = 24
Applying the Quadratic Formula
The quadratic formula for the two roots of a quadratic equation is given as,
[tex]x=\frac{-b+\sqrt{b^{2}-4ac } }{2a}[/tex] ........... (1)
and [tex]x=\frac{-b+\sqrt{b^{2}+4ac } }{2a}[/tex] ............ (2)
Substituting the values of a, b, and c in equation (1), we get,
x = -8.43
Calculating the Second Root
Now, the other solution can be found by substituting the values of a, b, and c in the equation (2),
[tex]x=\frac{-45+\sqrt{45^{2}+4(5)(24) } }{2(5)}[/tex]
[tex]x=\frac{-45+\sqrt{(2505) } }{10}[/tex]
[tex]x=-0.57[/tex]
Learn more about a quadratic equation here:
https://brainly.com/question/17177510
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