How do i solve this?

#kx^2+x=x^2-2#

1 Answer
Evan
Mar 12, 2018

#x=(-1+-sqrt(9-8k))/(2k-2)#

Explanation:

#kx^2+x=x^2-2#

Subtract #(x^2-2)# from both sides,

#kx^2-x^2+x+2#

Factorise the #x^2#,

#(k-1)x^2+x+2#

Apply the quadratic formula,

#x=(-1+-sqrt(1^2-4(k-1)(2)))/(2(k-1))#
#color(white)(x)=(-1+-sqrt(9-8k))/(2k-2)#

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