Question

Which equation shows the quadratic formula used correctly to solve 5x2 + 3x - 4 = 0 for x?

Answer 1

The quadratic formula used to solve the equation $5x^{2} +3x-4=0$ is $x=\frac{-3 \pm \sqrt{(3)^{2}-4(5)(-4)}}{2(5)}$

Explanation:

The equation is $5x^{2} +3x-4=0$

The equation is of the form $ax^{2} +bx+c=0$

Thus, $a=5, b=3,c=-4$

To find the quadratic formula, the general formula to find the quadratic roots is $x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

Hence, substituting the values of a,b,c in the formula, we get,

$x=\frac{-3 \pm \sqrt{(3)^{2}-4(5)(-4)}}{2(5)}$

Thus, Option A is the correct answer.

The quadratic formula used to solve the equation $5x^{2} +3x-4=0$ is $x=\frac{-3 \pm \sqrt{(3)^{2}-4(5)(-4)}}{2(5)}$

Answer 2

Answer:

A) −3

Step-by-step explanation: