7 {x}^(2) - 3 - x = 0 by using the quadratic equation. ​

Question

`7 {x}^(2) - 3 - x = 0`
by using the quadratic equation.
​

Answer 1

Explanation:

Here the coefficients of this quadratic equation are {7, -1, -3}. Note that the given equation must be rewritten in standard form: 7x^2 - x - 3.

Then the discriminant, b^2 - 4ac, is (-1)^2 - 4(7)(-3), or 1 + 84, or 85. Because this discriminant is positive, the given quadratic has two real, unequal roots. These roots are:

-(-1) ± √85

x = ------------------

14

or:

1 ± √85

x = ------------------

14