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finlep [7]
2 years ago
5

Use the quadratic formula to find both solutions to the quadratic equation given below.

Mathematics
1 answer:
Tpy6a [65]2 years ago
5 0

The solution of the equation are x = \frac{7 + \sqrt{61}}{6} and x = \frac{7 - \sqrt{61}}{6}

<h3>How to determine the solution?</h3>

The equation is given as:

3x^2 - 7x- 1 = 0

The quadratic equation is represented as:

x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}

So, we have:

x = \frac{7 \pm \sqrt{(-7)^2 - 4 *3 *-1}}{2*3}

Evaluate the expression

x = \frac{7 \pm \sqrt{61}}{6}

Expand

x = \frac{7 + \sqrt{61}}{6} and x = \frac{7 - \sqrt{61}}{6}

Hence, the solution of the equation are x = \frac{7 + \sqrt{61}}{6} and x = \frac{7 - \sqrt{61}}{6}

Read more about quadratic formula at:

brainly.com/question/1214333

#SPJ1

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