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# What is Persamaan Kuadrat?

Persamaan Kuadrat is a type of equation that has a squared term in it. For example, x² + 2x - 5 = 0 is a persamaan kuadrat. It can be used to solve for the value of x in a variety of problems. It is also used in calculus and other advanced mathematics.

## The Roots of Persamaan Kuadrat with 5 and -2 Coefficients

When a persamaan kuadrat has coefficients of 5 and -2, then the roots of the equation are the values of x that make the equation true. In this case, the roots are -5/2 and 2. This means that when x is equal to -5/2 or 2, the equation is true.

### How to Find the Roots of a Persamaan Kuadrat with 5 and -2 Coefficients

Finding the roots of a persamaan kuadrat with 5 and -2 coefficients is relatively easy. Start by writing down the equation and its coefficients. Then use the quadratic formula to solve for the roots. The formula for finding the roots of a persamaan kuadrat is: x = [-b ± √(b² - 4ac)]/2a. In this case, the coefficients are 5 and -2, so the equation looks like this: x = [-(-2) ± √((-2)² - 4(5)(-2))]/2(5). Plugging in the values of the coefficients, the equation looks like this: x = [2 ± √(4 + 40)]/10. And finally, the roots are x = -5/2 and x = 2.

### How to Solve a Persamaan Kuadrat with 5 and -2 Coefficients

To solve a persamaan kuadrat with 5 and -2 coefficients, start by writing down the equation and its coefficients. Then, use the quadratic formula to solve for the roots. Once the roots are found, substitute them into the equation and solve for the value of x. In this case, the roots are -5/2 and 2. So, substituting the roots into the equation gives us 1/4 - 5/2 = 0 and 4 - 2 = 0. Solving for x, we get x = -5/2 and x = 2.

## Conclusion

Persamaan kuadrat with 5 and -2 coefficients can be easily solved by using the quadratic formula. By substituting the roots of the equation into the equation, the value of x can be found. In this case, the roots are -5/2 and 2, and the value of x is -5/2 and 2.