Question

Solve this quadratic equation using the quadratic formula. 5 - 10x - 3x2 = 0

Answer 1

The procedure is in the photo, good luck!

Answer 2

Answer:

Since, by the quadratic formula,

The solution of a quadratic equation $ax^2+bx+c=0$ is,

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

Here, the given quadratic equation,

$5-10x-3x^2=0$

$-3x^2-10x+5=0$

By the above formula,

$x=\frac{-(-10)\pm \sqrt{(-10)^2-4\times -3\times 5}}{2\times -3}$

$=\frac{10\pm \sqrt{100+60}}{-6}$

$=\frac{10\pm \sqrt{160}}{-6}$

$=\frac{5\pm 2\sqrt{10}}{-3}$

$\implies x=-\frac{5+2\sqrt{10}}{3}\text{ or }x=-\frac{5-2\sqrt{10}}{3}$