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Standard XIII

Mathematics

Roots under Different Values of Coefficients

In a quadrati...

Question

In a quadratic equation with leading coefficient 1, a student reads the coefficient 16 of x wrongly as 19 and obtain the roots as -15 and -4, then the correct roots are

6, 10

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-7, -9

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-6, -10

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15, 4

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Solution

The correct option is C
-6, -10

$x^{2}$ + 19x + k = 0.......(1)

Product of roots is k = 60

The original equation is x²+16x+60=0 => x=-10 , -6

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In a quadratic equation with leading coefficient 1, a student reads the coefficient 16 of x wrongly as 19 and obtain the roots as -15 and -4, then the correct roots are

The correct option is C -6, -10 x2 + 19x + k = 0.......(1) Product of roots is k = 60 The original equation is x2+16x+60=0 => x=-10 , -6

The correct option is C
-6, -10

$x^{2}$ + 19x + k = 0.......(1)

Product of roots is k = 60

The original equation is x²+16x+60=0 => x=-10 , -6