Question

Please help! Quadratic equations!

Answer 1

`x^2 -2x - 35 =0`

Explanation:

Assume that the quadratic term of this equation has no coefficient. One can set the equation up in factored form using the given roots. Then expand the equation and simplify the equation to convert to standard form.

The equation in factored form is the following,

`(x+5)(x-7)=0`

Expand, multiply every term in one of the parenthesis by every term in the other,

`(x+5)(x-7)=0\\\\(x)(x)+(5)(x)-(7)(x)+(-7)(5)=0`

Simplify,

`x^2 +5x -7x -35 =0\\\\x^2 -2x -35=0`