Mathematics: Can someone me solve this . i forgot how to so if you could explain . x^2 + 10x - 2 = 0

Can someone me solve this . i forgot how to so

Ответ:

Laiyla27

12.03.2022

So for this, I will be using the quadratic formula, which is $x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$ , with a = x^2 coefficient, b = x coefficient, and c = constant. Using our equation, plug the numbers in their appropriate spots:

$x=\frac{-10\pm \sqrt{10^2-4*1*(-2)}}{2*1}$

Next, solve the exponent and the multiplications:

$x=\frac{-10\pm \sqrt{100-(-8)}}{2}\\\\x=\frac{-10\pm \sqrt{100+8}}{2}$

Next, solve the addition:

$x=\frac{-10\pm \sqrt{108}}{2}$

Next, apply the product rule of radicals here and simplify the radical:

Product rule of radicals: √ab = √a × √b

$\sqrt{108}=\sqrt{6}\times \sqrt{18}=\sqrt{3} \times \sqrt{2} \times \sqrt{9} \times \sqrt{2} =3\times 2\times \sqrt{3}=6\sqrt{3}\\\\x=\frac{-10\pm 6\sqrt{3}}{2}$