solve the quadratic equation x^2+5x-24=0.
Thank you
Factor the quadriatic equation.
(x + 8)(x - 3) = 0
x = - 8 x = 3
Thanks again
To solve the quadratic equation x^2 + 5x - 24 = 0, you can use the quadratic formula:
x = (-b ± √(b^2 - 4ac)) / (2a)
In this equation, a is the coefficient of x^2 (which is 1 in this case), b is the coefficient of x (which is 5), and c is the constant term (which is -24).
Plugging these values into the quadratic formula, we get:
x = (-5 ± √(5^2 - 4(1)(-24))) / (2(1))
This simplifies to:
x = (-5 ± √(25 + 96)) / 2
x = (-5 ± √121) / 2
The square root of 121 is 11, so we have:
x = (-5 + 11) / 2 or x = (-5 - 11) / 2
Simplifying further, we get:
x = 6/2 or x = -16/2
Therefore, the solutions to the quadratic equation x^2 + 5x - 24 = 0 are:
x = 3 or x = -8
To solve the quadratic equation x^2+5x-24=0, you can use the quadratic formula. The quadratic formula is given by:
x = (-b ± √(b^2 - 4ac)) / (2a)
For the equation x^2+5x-24=0, you can identify the values of a, b, and c as follows:
a = 1, b = 5, and c = -24
Now, substitute these values into the quadratic formula and solve for x:
x = (-5 ± √(5^2 - 4 * 1 * -24)) / (2 * 1)
Simplifying further:
x = (-5 ± √(25 + 96)) / 2
x = (-5 ± √121) / 2
x = (-5 ± 11) / 2
x₁ = (-5 + 11) / 2
= 6/2
= 3
x₂ = (-5 - 11) / 2
= -16/2
= -8
Therefore, the solutions to the quadratic equation x^2+5x-24=0 are x = 3 and x = -8.