Question

The quadratic equation hx²+x+2hx+h=1

Answer 1

The quadratic equation is hx²+x+2hx+h=1​.

Simplify the equation.

`hx^2+2hx+h-1=0`

Solve the quadratic equatiion.

`x=\frac{-2h\pm\sqrt[]{4h^2-4h(h-1)}}{2h}`
`x=\frac{-2h\pm\sqrt[]{4h^2-4h^2+4h}}{2h}`
`x=\frac{-2h\pm\sqrt[]{4h}}{2h}=\frac{-2h\pm2\sqrt[]{h}}{2h}=\frac{-h\pm\sqrt[]{h}}{h}`
`x=\frac{-h+\sqrt[]{h}}{h},\frac{-h-\sqrt[]{h}}{h}`

Hence the value of x ae obatained for the quadratic equations.