2x2-3x+4=-(x-1)2-6

Solution for 2x2-3x+4=-(x-1)2-6 equation:

2x^2-3x+4=-(x-1)2-6

We move all terms to the left:

2x^2-3x+4-(-(x-1)2-6)=0


We calculate terms in parentheses: -(-(x-1)2-6), so:

-(x-1)2-6

We multiply parentheses

-2x+2-6

We add all the numbers together, and all the variables

-2x-4

Back to the equation:

-(-2x-4)


We get rid of parentheses

2x^2-3x+2x+4+4=0

We add all the numbers together, and all the variables

2x^2-1x+8=0

a = 2; b = -1; c = +8;
Δ = b2-4ac
Δ = -12-4·2·8
Δ = -63
Delta is less than zero, so there is no solution for the equation