The roots of the quadratic equation x 2-9 x -14-0 areA- -7-2B- 7-2C- -7-2D- 7-2

The correct option is B 7, 2x^2 9x+14 = 0 ⇒ x^2 7x 2x+14 = 0 ⇒ x (x 7) 2 (x 7) nbsp;= 0 ⇒ (x 7) (x 2) = 0 ⇒ (x 7)=0 or (x 2)=0 ⇒ x = 7 or x=2 ∴ The roots o ...

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Standard X

Mathematics

Formation of Quadratic Equation from Roots

The roots of ...

Question

The roots of the quadratic equation $x^{2} - 9 x + 14 = 0$ are

7, -2

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-7, -2

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7, 2

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-7, 2

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Solution

The correct option is C 7, 2
$x^{2} - 9 x + 14 = 0$
$\Rightarrow x^{2} - 7 x - 2 x + 14 = 0$
$\Rightarrow x (x - 7) - 2 (x - 7) = 0$
$\Rightarrow (x - 7) (x - 2) = 0$
$\Rightarrow$ $(x - 7) = 0 o r (x - 2) = 0$
$\Rightarrow x = 7 o r x = 2$
$∴$ The roots of the given equation are 7, 2.

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The roots of the quadratic equation x2−9x+14=0 are

The correct option is C 7, 2x2−9x+14=0 ⇒x2−7x−2x+14=0 ⇒x(x−7)−2(x−7)=0 ⇒(x−7)(x−2)=0 ⇒ (x−7)=0 or (x−2)=0 ⇒x=7 or x=2 ∴ The roots of the given equation are 7, 2.

The roots of the quadratic equation $x^{2} - 9 x + 14 = 0$ are

The correct option is C 7, 2
$x^{2} - 9 x + 14 = 0$
$\Rightarrow x^{2} - 7 x - 2 x + 14 = 0$
$\Rightarrow x (x - 7) - 2 (x - 7) = 0$
$\Rightarrow (x - 7) (x - 2) = 0$
$\Rightarrow$ $(x - 7) = 0 o r (x - 2) = 0$
$\Rightarrow x = 7 o r x = 2$
$∴$ The roots of the given equation are 7, 2.