What is discriminant in nature of roots?

The discriminant is defined as Δ=b2−4ac. This is the expression under the square root in the quadratic formula. The discriminant determines the nature of the roots of a quadratic equation. If Δ=0, the roots are equal and we can say that there is only one root.

What is the nature of roots of 676?

Square root of 676 is irrational.

What is the nature of roots of 49?

rational number
49 is a perfect square number which can be obtained by a square of 7 and it is also a composite number. Hence, the square root of 49 is a rational number.

What is the nature of the roots if the discriminant is zero?

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

What is the nature of roots of 80?

80 is a number that is not a perfect square, meaning it does not have a natural number as its square root. Also, its square root cannot be expressed as a fraction of the form p/q which confirms to us that the square root of 80 is an irrational number.

What is the nature of the roots of the quadratic equation if the value of its discriminant is positive but not a perfect square?

irrational
If the discriminant is positive but not a perfect square, then the solutions to the equation are real but irrational.

What is the nature of roots of 2025?

45
The square root of 2025 is 45.

What is the nature of roots of the quadratic equation 4×2 8x 9 0?

Therefore, Quadratic equation has no real roots.

How do you find the nature of roots?

To determine the nature of roots of quadratic equations (in the form ax^2 + bx +c=0) , we need to caclulate the discriminant, which is b^2 – 4 a c. When discriminant is greater than zero, the roots are unequal and real. When discriminant is equal to zero, the roots are equal and real.

What are the different types of roots?

The different types of roots are primary roots, secondary roots and tertiary roots. There are also taproots, fibrous roots and adventitious roots, the third of which are roots sent out from stems and other structures.

What are the roots of the plant?

The roots of a plant is the part that is usually buried in the soil. Roots are usually always under the soil, though–sometimes roots can be above the ground. This is called an aerial root.

What are the roots of trees?

The roots of a tree are usually under the ground. One case for which this is not true are the roots of the mangrove tree which are often under water. A single tree has many roots. The roots carry food and water from the ground through the trunk and branches to the leaves of the tree. They can also breathe in air.