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The quadratic equation hx²+x+2hx+h=1

Sagot :

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

Simplify the equation.

[tex]hx^2+2hx+h-1=0[/tex]

Solve the quadratic equatiion.

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

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