Question

8) Solve using the Quadratic Formula. x2 + 3x - 5 = 0

Answer 1

Step-by-step explanation:

$x^{2} + 3x - 5$

For any quadratic equation $ax^{2} + bx + c = 0$, the quadratic formula is as follows:

$\frac{-b \pm \sqrt{b^{2} - 4ac}}{2a}$

From the given quadratic equation, we know that $a = 1$, $b = 3$ and $c = -5$. Plugging in these values into the quadratic formula gives us the following:

$\frac{-(-3) \pm \sqrt{(3)^{2} - 4(1)(-5)}}{2(1)}$

$\frac{3 \pm \sqrt{9 + 20}}{2}$

$\frac{3 \pm \sqrt{29}}{2}$