Solve the following quadratic equation- x 2-8 x -15-0A- x-15B- x -15C- x- 15D- x-15 or x-15

The correct option is D x = √15 or x = √15 Given: x^2 + 8x +15 = 0 ⇒ x^2 +3x + 5x + 15 = 0 ⇒ x( x + 3) + 5( x + 3) = 0 ⇒ ( x + 3)(x + 5) = 0 ⇒ ( x = 3 ...

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Standard X

Mathematics

Solving by Factorization method

Solve the fol...

Question

Solve the following quadratic equation: $x^{2} + 8 x + 15 = 0$

x= √15

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x= - √15

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x = √15 or x = - √15

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x = ± 15

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Solution

The correct option is C
x = √15 or x = - √15

Given: $x^{2} + 8 x + 15 = 0$

$\Rightarrow x^{2} + 3 x + 5 x + 15 = 0$

$\Rightarrow x (x + 3) + 5 (x + 3) = 0$

$\Rightarrow (x + 3) (x + 5) = 0$

$\Rightarrow (x = - 3, - 5)$

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Solve the following quadratic equation: x2+8x+15=0

The correct option is C x = √15 or x = - √15 Given: x2+8x+15=0 ⇒ x2+3x+5x+15=0 ⇒ x(x+3)+5(x+3)=0 ⇒ (x+3)(x+5)=0 ⇒ (x=−3,−5)

Solve the following quadratic equation: $x^{2} + 8 x + 15 = 0$

The correct option is C
x = √15 or x = - √15

Given: $x^{2} + 8 x + 15 = 0$

$\Rightarrow x^{2} + 3 x + 5 x + 15 = 0$

$\Rightarrow x (x + 3) + 5 (x + 3) = 0$

$\Rightarrow (x + 3) (x + 5) = 0$

$\Rightarrow (x = - 3, - 5)$