Question

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.

Answer 1

-0.56

Explanation:

The guy above was nearly correct, not correct. He said it was positive when it is actually negative.

Hope this helps!

Answer 2

The other solution is 0.56

Explanation:

The quadratic equation is;

4x^2 + 45x + 24

a is the coefficient of x^2 which is 4

b is the coefficient of x which is 45

c is the third number which is 24

Using the quadratic formula, we have

x = {-b ± √(b^2-4ac)}/2a

So inputing the values we have highlighted above, we have

x = {-45 ± √(45^2-4(4)(24)}/2(4)

x = {-45 ± √(2025-4(4)(24)}/2(4)

x = {-45 ± √1641}/2(4)

x = {-45 ± 40.51}/2(4)

x = (-45+40.51)/8 or (-45-40.51)/8

x = 0.56 or -10.69