Question

Which are the solutions of the quadratic equation x^2=7x+4

Answer 1

The values of x are equal to:

(7 + √65)/2 = (7.531)

(7 - √65)/2 = (-0.531)

x^2 = 7x + 4

Subtract x^2 from both sides.

-x^2 + 7x + 4

Multiply all terms by -1.

x^2 - 7x - 4

Check if splitting the middle term is possible:

List factors of -4:

1 * -4

-1 * 4

2 * -2

None of the factors fit the criteria.

We can solve using the quadratic formula:

`-b +/- (√(b^2 - 4ac) )/(2a)`

7 +/- √(49 + 16)/2

7 +/- √65/2