Question

X^2−7x−24=0 to the nearest tenth.

Answer 1

-2.5 and 9.5

Explanation

Given the equation:

`x^2-7x-24=0`

we can solve this equation with help of the quadratic formula with the coefficients a = 1, b = -7, and c = -24, as follows:

`\begin{gathered} x_(1,2)=(-b\pm√(b^2-4ac))/(2a) \\ x_(1,2)=(7\pm√((-7)^2-4\cdot1\cdot(-24)))/(2\cdot1) \\ x_(1,2)=(7\pm√(145))/(2) \\ x_1=(7+√(145))/(2)\approx9.5 \\ x_2=(7-√(145))/(2)\approx-2.5 \end{gathered}`