## What discriminant has no real roots?

If the discriminant is greater than zero, this means that the quadratic equation has no real roots. Therefore, there are no real roots to the quadratic equation 3×2 + 2x + 1. If the discriminant is equal to zero, this means that the quadratic equation has two real, identical roots.

### What discriminant has no real solutions?

A discriminant of zero indicates that the quadratic has a repeated real number solution. A negative discriminant indicates that neither of the solutions are real numbers.

Why would having the discriminant 0 have no real solutions?

Case 1: No Real Roots If the discriminant of a quadratic function is less than zero, that function has no real roots, and the parabola it represents does not intersect the x-axis.

What are two distinct real roots?

For the quadratic equation ax2 + bx + c = 0, the expression b2 – 4ac is called the discriminant. The value of the discriminant shows how many roots f(x) has: – If b2 – 4ac > 0 then the quadratic function has two distinct real roots. – If b2 – 4ac = 0 then the quadratic function has one repeated real root.

## What is real and distinct roots?

If an equation has real roots, then the solutions or roots of the equation belongs to the set of real numbers. If the equation has distinct roots, then we say that all the solutions or roots of the equations are not equal. When a quadratic equation has a discriminant greater than 0, then it has real and distinct roots.

### What is symbol for no solution?

symbol Ø
Sometimes we use the symbol Ø to represent no solutions. That symbol means “empty set” which means that the set of all answers is empty. In other words, there is no answer.

How do you know if there is no real solution?

Explanation: When finding how many solutions an equation has you need to look at the constants and coefficients. The coefficients are the numbers alongside the variables. If the coefficients are the same on both sides then the sides will not equal, therefore no solutions will occur.

What to do if the discriminant is negative?

If the discriminant is negative, that means there is a negative number under the square root in the quadratic formula. You may have learned in the past that you “can’t take the square root of a negative number.” The truth is that you can take the square root of a negative number, but the answer is not real.

## What happens when B 2 4ac 0?

If (b2 – 4ac) > 0.0, two real roots exist (i.e, the equation crosses the x-axis in two places — the x-intercepts). root of a negative number). If (b2-4ac) = 0, then only one real root exists — where the parabola touches the x-axis at a single point.

### Where can I find a discriminant worksheet?

Finding the discriminant worksheets with their enormous collection of quadratic equations is a good fit for your high school students. It is important to know what a discriminant is well before you get started. A discriminant is the part of the quadratic formula that is underneath the square root symbol given by b 2 – 4ac.

Which is the correct value for the discriminant?

For the quadratic equation ax2 + bx + c = 0, the expression b2 – 4ac is called the discriminant. The value of the discriminant shows how many roots f(x) has: If b2 – 4ac > 0 then the quadratic function has two distinct real roots. If b2 – 4ac = 0 then the quadratic function has one repeated real root.

Where is the discriminant of a quadratic equation?

The discriminant of a quadratic equation , is . The discriminant is found inside the square root of the quadratic formula. The discriminant tells us the number and nature of the roots of the quadratic. nature of the roots. Find the number of x-intercepts of the parent graph. Rewrite the problem. Write in standard form. Substitute into discriminant.

## How to find the discriminant value for x2 + 5x + 6?

Find the discriminant value for the equation x2 + 5x + 6 = 0 and determine the number of real roots. Given equation is x2 + 5x + 6 = 0. It is in the form ax2 + bx + c = 0, where a = 1, b = 5, and c = 6.

What discriminant has no real roots? If the discriminant is greater than zero, this means that the quadratic equation has no real roots. Therefore, there are no real roots to the quadratic equation 3×2 + 2x + 1. If the discriminant is equal to zero, this means that the quadratic equation has two real, identical…