How do you work x2 plus 25x-10974 equals 0?

Answer 1

In this case, it's probably faster to simply solve it by completing the square than by trying to find it's factors:

x2 + 25x - 10974 = 0

x2 + 25x = 10974

x2 + 25x + 625/4 = 10974 + 625/4

(x + 25/2)2 = 10974 + 156.25

x + 25/2 = ± √11130.25

x + 25/2 = ± √44521 / 2

x = (-25 ± √44521) / 2

x = (-25 ± 211) / 2

x = 93, -118

This tells us that if we had factored the equation out in the first place, we would have wound up with:

(x - 93)(x + 118) = 0

Answer 2

To solve the equation x^2 + 25x - 10974 = 0, you can use factoring or the quadratic formula. Factoring may not be straightforward in this case, so let's use the quadratic formula: x = (-b ± √(b^2 - 4ac)) / 2a. Using the coefficients from the equation, -b would be -25, a would be 1, and c would be -10974. Substituting these values into the formula will give you two possible solutions for x.