Product of roots of the equation -13-x2-x-5

The correct option is B 6Given equation 13 x^2=(x+5)^2 ⇒ 13 x^2=x^2+10x+25 ⇒ 2x^2+10x+12=0 Product of roots of the equation ax^2+bx+c=0 ⇒ ca=122=6 ...

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Standard XII

Mathematics

Higher Order Equations

Product of ro...

Question

Product of roots of the equation
$\sqrt{13 - x^{2}} = x + 5$

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Solution

The correct option is C $6$
Given equation
$13 - x^{2} = (x + 5)^{2}$
$\Rightarrow 13 - x^{2} = x^{2} + 10 x + 25$
$\Rightarrow 2 x^{2} + 10 x + 12 = 0$
Product of roots of the equation $a x^{2} + b x + c = 0$
$\Rightarrow \frac{c}{a} = \frac{12}{2} = 6$

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Product of roots of the equation √13−x2=x+5

The correct option is C 6Given equation 13−x2=(x+5)2 ⇒13−x2=x2+10x+25 ⇒2x2+10x+12=0 Product of roots of the equation ax2+bx+c=0 ⇒ca=122=6

Product of roots of the equation
$\sqrt{13 - x^{2}} = x + 5$

The correct option is C $6$
Given equation
$13 - x^{2} = (x + 5)^{2}$
$\Rightarrow 13 - x^{2} = x^{2} + 10 x + 25$
$\Rightarrow 2 x^{2} + 10 x + 12 = 0$
Product of roots of the equation $a x^{2} + b x + c = 0$
$\Rightarrow \frac{c}{a} = \frac{12}{2} = 6$