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Mathematics - Quadratic Equation Question with Solution | TestHub

MathematicsQuadratic EquationGraph and Sign of QuadraticEasy2 minPYQ_2017

MathematicsEasysingle choice

The sum of all the real values of $x$ Satisfying the equation $2^{(x - 1) (x^{2} + 5 x - 50)} = 1$ is:

Options:

Answer:

Solution:

Given $2^{(x - 1) (x^{2} + 5 x - 50)} = 1$

$\Rightarrow (x - 1) (x^{2} + 5 x - 50) = 0, (∵ 2^{0} = 1)$

$\Rightarrow (x - 1) (x + 10) (x - 5) = 0$

$\Rightarrow x = 1, 5, - 10$

Sum of the real value of $x$ $= 1 + 5 - 10 = - 4$

Stream:JEESubject:MathematicsTopic:Quadratic EquationSubtopic:Graph and Sign of Quadratic

⏱ 2mℹ️ Source: PYQ_2017

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