Which are the solutions of x2 = –5x + 8?

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Question:

Which are the solutions of x2 = –5x + 8?

Answer:

By using Bhaskara’s formula, we will see that the two solutions are:

  • x = 1.25
  • x = -6.25

How to solve a quadratic equation?

Here we have the equation:

x^2 = -5x + 8.

This is a quadratic equation, remember that for the general quadratic equation:

a*x^2 + b*x + c = 0

The solutions are given by Bhaskara’s formula:

We can rewrite our equation as:

x^2 + 5*x – 8 = 0

Using the above formula we get the solutions:

Then the two solutions are:

  • x = (-5 + 7.5)/2 = 1.25
  • x = (-5 – 7.5)/2 = -6.25

If you want to learn more about quadratic equations, you can read:

They could possibly hopefully help the student solve the question by working with the questions and answer examples. You may then have a discussion with your classmate and continue the school learning by studying the topic as a group.

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