The given equation is a quadratic equation in the form of ax^2 + bx + c = 0, where a = 1, b = 3, and c = -4.

The solutions to a quadratic equation can be found using the quadratic formula, which is given by:

x = [-b ± sqrt(b^2 - 4ac)] / (2a)

Substituting the values of a, b, and c into the quadratic formula gives:

d = [-3 ± sqrt((3)^2 - 4*1*(-4))] / (2*1)
d = [-3 ± sqrt(9 + 16)] / 2
d = [-3 ± sqrt(25)] / 2
d = [-3 ± 5] / 2

This gives two solutions:

d = (-3 + 5) / 2 = 1
d = (-3 - 5) / 2 = -4

So, the solutions to the equation d^2 + 3d - 4 = 0 are d = 1 and d = -4.

Question

The given equation is a quadratic equation in the form of ax^2 + bx + c = 0, where a = 1, b = 3, and c = -4.

The solutions to a quadratic equation can be found using the quadratic formula, which is given by:

x = [-b ± sqrt(b^2 - 4ac)] / (2a)

Substituting the values of a, b, and c into the quadratic formula gives:

d = [-3 ± sqrt((3)^2 - 4*1*(-4))] / (2*1)
d = [-3 ± sqrt(9 + 16)] / 2
d = [-3 ± sqrt(25)] / 2
d = [-3 ± 5] / 2

This gives two solutions:

d = (-3 + 5) / 2 = 1
d = (-3 - 5) / 2 = -4

So, the solutions to the equation d^2 + 3d - 4 = 0 are d = 1 and d = -4.

Knowee AI · Accepted Answer