## What do the roots of a quadratic equation mean?

A quadratic equation, or a quadratic in short, is an equation in the form of ax^2 + bx + c = 0, where a is not equal to zero. The “roots” of the quadratic are the numbers that satisfy the quadratic equation. This is done because the roots of the equation are the values where the y axis is equal to 0.

### What is the application of roots of quadratic equation in real life?

Answer: In daily life we use quadratic formula as for calculating areas, determining a product’s profit or formulating the speed of an object. In addition, quadratic equations refer to an equation that has at least one squared variable.

What is the importance of knowing the sum and product of the roots of the quadratic equation?

The roots to a quadratic equation can equal to any number. Their sum and product won’t tell us much. Therefore, using this system of equations, and given the sum and product, it is easy to derive the quadratic equation when equal to zero. Originally Answered: Why is the quadratic formula so significant?

Thus, every solution is root. A quadratic equation has two roots which may be unequal real numbers or equal real numbers, or numbers which are not real. If a quadratic equation has two real equal roots α, we say the equation has only one real solution.

## What is the importance of quadratic function in real life situation?

Quadratic equations are actually used in everyday life, as when calculating areas, determining a product’s profit or formulating the speed of an object. Quadratic equations refer to equations with at least one squared variable, with the most standard form being ax² + bx + c = 0.

### Where are quadratics used in real life?

Throwing a ball, shooting a cannon, diving from a platform and hitting a golf ball are all examples of situations that can be modeled by quadratic functions. In many of these situations you will want to know the highest or lowest point of the parabola, which is known as the vertex.

What is the product of the roots of quadratic equation?

For any quadratic equation ax2 + bx + c = 0, the sum of the roots = -b/a. the product of the roots = c/a.

What is the sum of roots used for?

## What is the nature of the roots of the quadratic equation if the value of its discriminant is zero?

When discriminant is equal to zero, the roots are equal and real.

### What will be the nature of roots of quadratic equation?

Hence, the roots of a quadratic equation are real, unequal and irrational.

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What is the nature of the roots of the quadratic equation if the value of its discriminant is greater than zero and a perfect square?

When discriminant is greater than zero, the roots are unequal and real. When discriminant is equal to zero, the roots are equal and real. When discriminant is less than zero, the roots are imaginary.