Mathematics - Quadratic Equation Question with Solution | TestHub

MathematicsQuadratic EquationQuadratic expressionEasy2 minQB

MathematicsEasysingle choice

The value of $b$ and $c$ for which the identity $f (x + 1) - f (x) = 8 x + 3$ is satisfied, where $f (x) = b x^{2} + c x + d$ are

Answer:

Solution:

$∵ f (x + 1) - f (x) = 8 x + 3$

${b (x + 1)^{2} + c (x + 1) + d} - {b x^{2} + c x + d} = 8 x + 3$

$\Rightarrow b {(x + 1)^{2} - x^{2}} + c = 8 x + 3$

$\Rightarrow b (2 x + 1) + c = 8 x + 3$

On comparing,

$2 b = 8 an d b + c = 3$

$b = 4 an d c = - 1$

Stream:JEESubject:MathematicsTopic:Quadratic EquationSubtopic:Quadratic expression

⏱ 2mℹ️ Source: QB

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