The given equation is a quadratic equation in the form of ax^2 + bx + c = 0, where a = 1, b = 10, and c = -24.

The solutions for x (in this case d) in a quadratic equation can be found using the quadratic formula, which is:

x = [-b ± sqrt(b^2 - 4ac)] / 2a

Substituting the values of a, b, and c into the formula, we get:

d = [-10 ± sqrt((10)^2 - 4*1*(-24))] / 2*1
d = [-10 ± sqrt(100 + 96)] / 2
d = [-10 ± sqrt(196)] / 2
d = [-10 ± 14] / 2

This gives us two solutions:

d = (-10 + 14) / 2 = 4/2 = 2
d = (-10 - 14) / 2 = -24/2 = -12

So, the solutions for the equation d^2 + 10d - 24 = 0 are d = 2 and d = -12.

Question

The given equation is a quadratic equation in the form of ax^2 + bx + c = 0, where a = 1, b = 10, and c = -24.

The solutions for x (in this case d) in a quadratic equation can be found using the quadratic formula, which is:

x = [-b ± sqrt(b^2 - 4ac)] / 2a

Substituting the values of a, b, and c into the formula, we get:

d = [-10 ± sqrt((10)^2 - 4*1*(-24))] / 2*1
d = [-10 ± sqrt(100 + 96)] / 2
d = [-10 ± sqrt(196)] / 2
d = [-10 ± 14] / 2

This gives us two solutions:

d = (-10 + 14) / 2 = 4/2 = 2
d = (-10 - 14) / 2 = -24/2 = -12

So, the solutions for the equation d^2 + 10d - 24 = 0 are d = 2 and d = -12.

Knowee AI · Accepted Answer