Is 0.2 a root of the equation x² - 0.4 = 0
Solution:
Given, the quadratic equation is x² - 0.4 = 0
We have to determine if 0.2 is a root of the equation.
Put x = 0.2 in the equation,
x² - 0.4 = (0.2)² - 0.4
= 0.04 - 0.4
= -0.36
Therefore, 0.2 is not a root of the equation.
✦ Try This: Is 2 a root of the equation x² - 4 = 0? Justify.
Given, the equation is x² - 4 = 0
We have to check if 2 is a root of the equation.
Put x = 2 in the equation,
x² - 4 = (2)² - 4
= 4 - 4
= 0
Therefore, 2 is a root of the equation
☛ Also Check: NCERT Solutions for Class 10 Maths Chapter 4
NCERT Exemplar Class 10 Maths Exercise 4.2 Problem 6
Is 0.2 a root of the equation x² - 0.4 = 0
Summary:
The roots of the quadratic equation ax2 + bx + c = 0 are nothing but the solutions of the quadratic equation. i.e., they are the values of the variable (x) which satisfies the equation. 0.2 is not a root of the equation x² - 0.4
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