How would I solve this?
x^2+10x+24=0
you want two factors of 24 which add up to 10. List the factors:
1 2 3 4 6 8 12 24
Take them in pairs, working in from the ends. Note that 4 and 6 add up to 10, so you have
(x+4)(x+6) = 0
x = -4 or -6
oh okay thank you, do i plug them in now or leave it at that?
oh wait, nvm
To solve the quadratic equation x^2 + 10x + 24 = 0, you can use the quadratic formula. The quadratic formula states that for an equation of the form ax^2 + bx + c = 0, the solutions for x can be found using the following formula:
x = (-b ± √(b^2 - 4ac)) / 2a
In this case, the equation is x^2 + 10x + 24 = 0, which means a = 1, b = 10, and c = 24. Plugging these values into the quadratic formula, we get:
x = (-(10) ± √((10)^2 - 4(1)(24))) / (2(1))
Simplifying further:
x = (-10 ± √(100 - 96)) / 2
x = (-10 ± √4) / 2
Now, let's compute both solutions:
x1 = (-10 + √4) / 2
Simplifying:
x1 = (-10 + 2) / 2
x1 = -8 / 2
x1 = -4
x2 = (-10 - √4) / 2
Simplifying:
x2 = (-10 - 2) / 2
x2 = -12 / 2
x2 = -6
Therefore, the solutions to the quadratic equation x^2 + 10x + 24 = 0 are x = -4 and x = -6.