Question

$7 {x}^{2} - 3 - x = 0$
by using the quadratic equation.
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Answer 1

Answer:

Step-by-step 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