Mathematics - Quadratic Equation Question with Solution | TestHub

MathematicsQuadratic EquationQuadratic expressionEasy2 minQB

MathematicsEasyinteger

The sum of all the real roots of the equations $∣ x - 2 ∣^{2} + ∣ x - 2∣ - 2 = 0$ is ....

Answer:

Solution:

$∣ x - 2 ∣^{2} + ∣ x - 2∣ - 2 = 0$

$\Rightarrow (∣ x - 2∣ + 2) (∣ x - 2∣ - 1) = 0 \Rightarrow ∣ x - 2∣ = - 2, 1$

$∴ ∣ x - 2∣ = 1$ or $x = 3, 1$

⇒ sum of the roots $= 4$

Stream:JEESubject:MathematicsTopic:Quadratic EquationSubtopic:Quadratic expression

⏱ 2mℹ️ Source: QB

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