Question

Solve the following quadratic equation using the quadratic formula. Separate multiple answers with a comma if necessary. −6x^2+1=−2x

Answer 1

Explanation:

Hello,

We just need to apply the formula using the discriminant

`-6x^2-2x+1=0\\\\\Delta = b^2-4ac = (-2)^2-*4(-6)*1=4+24=28`

so we have two distinct real solutions

`x_1=(2+√(28))/(2*(-6))=(2+2√(7))/(2*(-6))=-(√(7)+1)/(6) \\\\ and \\\\x_2=(√(7)-1)/(6)`

Hope this helps