The quadratic equation 4x2 + 45x + 24 = 0 was solved using the Quadratic Formula, x equals negative b plus or minus the square root of b squared minus 4 times a times c, all over 2 times a.
One solution is −10.69. What is the other solution? Round to the hundredths place.
0.51
10.69
−1.12
−0.56

Respuesta :

Answer:

The other solution is -0.56

Step-by-step explanation:

Quadratic equation :[tex]4x^2 + 45x + 24 = 0[/tex]

General quadratic equation : [tex]ax^2+bx+c=0[/tex]

Om comparing :

a=4

b = 45

c=24

Formula : [tex]x =\frac{-b \pm \sqrt{b^2-4ac}}{2a}[/tex]

Substitute the values in the formula :

[tex]x=\frac{-45 \pm \sqrt{45^2-4(4)(24)}}{2(4)}\\x=\frac{-45 + \sqrt{45^2-4(4)(24)}}{2(4)},\frac{-45 - \sqrt{45^2-4(4)(24)}}{2(4)}\\x=-0.5613,-10.688[/tex]

So, One solution is −10.69.

So, Other solution is −0.56

Hence  the other solution is -0.56

Answer:

−0.56!

Step-by-step explanation: just took the quiz :p