Question

Solve the following quadratic equation for all values of x in simplest form.

Answer 1

Answer:

$x=\sqrt{7},\:x=-\sqrt{7}$

Step-by-step explanation:

Start by rewriting the equation to standard form $ax^2+bx+c=0$.

$5(x^2-10)+5=-10,\\5x^2-50+5=-10,\\5x^2-35=0$.

Factor out the 5, then isolate $x^2$:

$5x^2-35=0,\\5(x^2-7)=0,\\x^2-7=0,\\x^2=7,\\x=\pm \sqrt{7}.$.

Therefore, the solutions to this quadratic are:

$x=\sqrt{7},\:x=-\sqrt{7}$