Question

8)
Solve using the Quadratic Formula.

x2 + 3x - 5 = 0

Answer 1

Explanation:

`x^(2) + 3x - 5`

For any quadratic equation
`ax^(2) + bx + c = 0`, the quadratic formula is as follows:

`\frac{-b \pm \sqrt{b^(2) - 4ac}}{2a}`

From the given quadratic equation, we know that
`a = 1`,
`b = 3` and
`c = -5`. Plugging in these values into the quadratic formula gives us the following:

`\frac{-(-3) \pm \sqrt{(3)^(2) - 4(1)(-5)}}{2(1)}`

`(3 \pm √(9 + 20))/(2)`

`(3 \pm √(29))/(2)`