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  • Is 0.2 a root of the equation x^{2} – 0.4 = 0? Justify

Is 0.2 a root of the equation x2 – 0.4 = 0?  Justify

Answers (1)

False

Quadratic Equation – A quadratic equation in x is an equation that can be written in the standard form, ax2 + bx + c = 0    Where a, b and c are real numbers with a \neq 0

Roots : If ax2 + bx + c = 0                  …..(1)

Is a quadratic equation then the values of x which satisfy equation 1 are the roots of the equation.

 Here the given equation is x2 – 0.4 = 0          …..(2)

 If 0.2 is a root of equation 2 then it should satisfy its equation
 Put x = 0.2 in (2)

  \\(0.2)^{2}-0.4=0\\ \left (\frac{2}{10} \right )-0.4=0\\ \frac{4}{100}-0.4=0\\ 0.04-0.4=0\\ -0.36 \neq 0

Here 0.2 is not satisfying the equation (2)

Hence 0.2 is not a root of the equation x^{2}-0.4=0

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