Find solution of the given equation x-5-1-2 x-10-x-6

The correct option is C x = 8, x = 5 x + 5/1 = 2x + 10/x 6 After cross multiplication, (x + 5)×(x 6) = (2x + 10)×(1) x^2 x 30 = 2x + 10 ⇒ x^2 3x 4 ...

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Standard X

Mathematics

Quadratic Equation

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Question

Find solution of the given equation

$\frac{x + 5}{1} = \frac{2 x + 10}{x - 6}$

True

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False

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$x = - 3, x = - 5$

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$x = 7, x = - 6$

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Solution

The correct option is A
True

$\frac{x + 5}{1} = \frac{2 x + 10}{x - 6}$

After cross multiplication,

$(x + 5) \times (x - 6) = (2 x + 10) \times (1)$

$x^{2} - x - 30 = 2 x + 10$

$\Rightarrow x^{2} - 3 x - 40 = 0$ is in the form of $a x^{2} + b x + c$ = 0 [Quadratic equation]

By using factorization method

$\to$ $x^{2} - 3 x - 40 = 0$

$x^{2} - (8 - 5) x - 40$

$x^{2} - 8 x + 5 x - 40$

$x (x - 8) + 5 (x - 8)$

$(x - 8) (x + 5)$

$\to$ $x = 8, o r x = - 5$

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