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