If - is the greater root of x2-5x-4-0 and - -m-2- then the value of m is

Given quadratic equation is x^2 5x+4=0 ⇒ x^2 4x x+4=0 ⇒ x(x 4) 1(x 4)=0 ⇒ (x 4)(x 1)=0 ⇒ x=1, 4 As α is the greater root, so nbsp; α nbsp; = 4 ⇒α +m = 2 ∴ m ...

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Standard XI

Mathematics

Roots of a Quadratic Equation

If α is the g...

Question

If $α$ is the greater root of $x^{2} - 5 x + 4 = 0$ and $α + m = 2$ , then the value of $m$ is

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Solution

The correct option is C $- 2$
Given quadratic equation is
$x^{2} - 5 x + 4 = 0 \Rightarrow x^{2} - 4 x - x + 4 = 0 \Rightarrow x (x - 4) - 1 (x - 4) = 0 \Rightarrow (x - 4) (x - 1) = 0 \Rightarrow x = 1, 4$
As $α$ is the greater root, so
$α = 4 \Rightarrow α + m = 2 ∴ m = - 2$

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Roots of a Quadratic Equation

Standard XI Mathematics

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If α is the greater root of x2−5x+4=0 and α+m=2, then the value of m is

The correct option is C −2Given quadratic equation is x2−5x+4=0⇒x2−4x−x+4=0⇒x(x−4)−1(x−4)=0⇒(x−4)(x−1)=0⇒x=1,4 As α is the greater root, so α=4⇒α+m=2∴m=−2

If $α$ is the greater root of $x^{2} - 5 x + 4 = 0$ and $α + m = 2$ , then the value of $m$ is

The correct option is C $- 2$
Given quadratic equation is
$x^{2} - 5 x + 4 = 0 \Rightarrow x^{2} - 4 x - x + 4 = 0 \Rightarrow x (x - 4) - 1 (x - 4) = 0 \Rightarrow (x - 4) (x - 1) = 0 \Rightarrow x = 1, 4$
As $α$ is the greater root, so
$α = 4 \Rightarrow α + m = 2 ∴ m = - 2$