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In the Following, Determine Whether the Given Values Are Solutions of the Given Equation Or Not: X2 - 3x + 2 = 0, X = 2, X = -1 - Mathematics

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Question

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

x2 - 3x + 2 = 0, x = 2, x = -1

Solution

We have been given that,

x2 - 3x + 2 = 0, x = 2, x = -1

Now if x = 2 is a solution of the equation then it should satisfy the equation

So, substituting x = 2 in the equation we get

x2 - 3x + 2

= (2)2 - 3(2) + 2

= 4 - 6 + 2

= 0

Hence, x = 2 is a solution of the given quadratic equation.

Also, if x = -1 is a solution of the equation then it should satisfy the equation

So, substituting x = -1 in the equation, we get

x2 - 3x + 2

= (-1)2 - 3(-1) + 2

= 1 + 3 + 2

= 6

Hence x = -1 is not a solution of the quadratic equation

Therefore, from the above results we find out that x = 2 is a solution and x = -1 is not a solution of the given quadratic equation.

  Is there an error in this question or solution?

APPEARS IN

 RD Sharma Solution for Class 10 Maths (2018 (Latest))
Chapter 4: Quadratic Equations
Ex. 4.1 | Q: 2.1 | Page no. 4
 RD Sharma Solution for Class 10 Maths (2018 (Latest))
Chapter 4: Quadratic Equations
Ex. 4.1 | Q: 2.1 | Page no. 4
Solution In the Following, Determine Whether the Given Values Are Solutions of the Given Equation Or Not: X2 - 3x + 2 = 0, X = 2, X = -1 Concept: Quadratic Equations.
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