X2+2x-15=0 Kuadrat Sempurna

3 min read Jun 26, 2024
X2+2x-15=0 Kuadrat Sempurna

Solving the Quadratic Equation: x2 + 2x - 15 = 0

A quadratic equation is a polynomial equation of degree two, which means the highest power of the variable (in this case, x) is two. The standard form of a quadratic equation is ax^2 + bx + c = 0, where a, b, and c are constants. In this article, we will solve the quadratic equation x2 + 2x - 15 = 0 and determine its roots.

Factoring the Quadratic Equation

To solve the quadratic equation, we can try to factor it. Factoring means expressing the equation as a product of two binomials. Let's see if we can factor x2 + 2x - 15 = 0.

x2 + 2x - 15 = (x + 5)(x - 3) = 0

As we can see, the equation can be factored into the product of two binomials: (x + 5) and (x - 3). This means that we have two possible values for x:

(x + 5) = 0 or (x - 3) = 0

Solving for x

Now, let's solve for x by setting each factor equal to zero:

(x + 5) = 0

x + 5 = 0 --> x = -5

(x - 3) = 0

x - 3 = 0 --> x = 3

Therefore, the roots of the quadratic equation x2 + 2x - 15 = 0 are x = -5 and x = 3.

Conclusion

In this article, we have solved the quadratic equation x2 + 2x - 15 = 0 by factoring it and determining its roots. The roots of the equation are x = -5 and x = 3. This equation is a perfect square, and its roots can be easily found by factoring the equation.