# Using the discriminant, give the nature of the roots of #7x^3+x^2-35x=5#?

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Using the discriminant, give the nature of the roots of #7x^3+x^2-35x=5# .

Also solve the equation.

Using the discriminant, give the nature of the roots of

Also solve the equation.

##### 1 Answer

Mar 13, 2017

We have real roots.

#### Explanation:

The discriminant of a cubic equation

- If discriminant is positive, we have real roots;
- if it is zero it has repeated roots and all real; and
- if it is less than zero, we have one rel root and two complex conjugates.

In the given equation

=

Hence, we have real roots.