Question

Solve 2x2 + x − 4 = 0 using completing the square

Answer 1

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

`x^2+\frac12x-2=0`

`x^2+\frac12x+\frac1{16}-(33)/(16)=0`

`\left(x+\frac14\right)^2=(33)/(16)`

`x+\frac14=\pm\frac{√(33)}4`

`x=\frac{-1\pm√(33)}4`