What are the exact solutions of x^2 − 3x − 7 = 0?

Question

asked Oct 24, 2021 185k views

1 Answer

An Illusion · Answer 1 · 2021-10-30T22:52:22+0000

Given:

The given equation is
x^(2) -3x-7=0

We need to determine the exact solutions of the equation.

Exact solution:

The exact solution of the equation can be determined by solving the equation using quadratic formula,

$x=(-b \pm √(b^2-4ac))/(2a)$

From the equation the values are a = 1, b = -3 and c = -7

Thus, substituting these values in the equation, we get;

$x=(-(-3) \pm √(3^2-4(1)(-7)))/(2(1))$

$x=(3 \pm √(9+28))/(2)$

$x=(3 \pm √(37))/(2)$

Thus, the exact solutions of the given equation is
$x=(3 \pm √(37))/(2)$

Hence, Option A is the correct answer.