Sum of the real roots in the equation x 2- x -17 x 2-95- x -175-0 is-A- 0B- 17C- 34D- None

The correct option is A 0 x^2|x| 17x^2+95|x| 175 = 0 ⇒ |x|^3 17|x|^2 + 95|x| 175 = 0 ⇒ (|x| 5)(|x|^2 12|x|+35) = 0 ⇒ (|x| 5)(|x| 5)(|x| 7) = 0 ⇒ |x| = 5,5, ...

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Byju's Answer

Standard XII

Mathematics

Discriminant

Sum of the re...

Question

Sum of the real roots in the equation $x^{2} | x | - 17 x^{2} + 95 | x | - 175$ = 0 is:

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Solution

The correct option is A
0

$x^{2} | x | - 17 x^{2} + 95 | x | - 175$ = 0

$\Rightarrow | x |^{3} - 17 | x |^{2} + 95 | x | - 175$ = 0

$\Rightarrow (| x | - 5) (| x |^{2} - 12 | x | + 35)$ = 0

$\Rightarrow (| x | - 5) (| x | - 5) (| x | - 7)$ = 0

$\Rightarrow | x |$ = $5, 5, | x |$ = 7

$\Rightarrow$ Roots are 5,-5,5,-5,7,-7 whose sum = 0

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Sum of the real roots in the equation x2|x|−17x2+95|x|−175 = 0 is:

The correct option is A 0 x2|x|−17x2+95|x|−175 = 0 ⇒|x|3−17|x|2+95|x|−175 = 0 ⇒(|x|−5)(|x|2−12|x|+35) = 0 ⇒(|x|−5)(|x|−5)(|x|−7) = 0 ⇒|x| = 5,5,|x| = 7 ⇒ Roots are 5,-5,5,-5,7,-7 whose sum = 0

Sum of the real roots in the equation $x^{2} | x | - 17 x^{2} + 95 | x | - 175$ = 0 is: