## RD Sharma Class 10 Solutions Chapter 08 Quadratic Equations

### RD Sharma Class 10 Solutions Quadratic Equations Exercise 8.1

Question 1.

Which of the following are quadratic equations ?

Solution:

Question 2.

In each of the following, determine whether the given values are solutions of the given equation or not :

Solution:

Question 3.

In each of the following, find the value of k for which the given value is a solution of the given equation.

Solution:

Question 4.

Determine, if 3 is a root of the equation given below :

Solution:

Question 5.

If x = and x = -3 are the roots of the equation ax* ^{2}* + 7x + b = 0, find the values of a and b.

Solution:

### Exercise 8.1

RD Sharma Class 10 Solutions Chapter 08 Quadratic Equations Ex 8.1

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Summary:

A polynomial of degree 2 is called a quadratic polynomial. The general form of a quadratic polynomial is ax^{2}+bx+c, where a, b, c are real numbers such that a is not equal to 0 and x is a real variable.

If p(x)= ax^{2}+bx+c, and a ≠ 0 is a quadratic polynomial and α is a real number, then p(α)=aα^{2}+bα+c is known as the value of the quadratic polynomial p(x)

A real number α is said to be a zero of quadratic polynomial p(x) = ax^{2}+bx+c, if p(α) =0.

If p(x) = ax^{2}+bx+c is a quadratic polynomial, then p(x) = 0 i.e., ax^{2}+bx+c =0, a ≠ 0 is called a quadratic polynomial.

A real number α is said to be a root of the quadratic equation ax^{2}+bx+c=0, if aα^{2}+bα+c=0.

More Resources For Class 10

RD Sharma Class 10 SolutionsQuadratic EquationsClass 10 Maths Sample Papers

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