If 8-2 are the roots of x2-a x-0- and 3-3 are the roots of x2- x-b-0-then the roots of x2-a x-b-0 are -A- 9-1B- 8-1C- -8-2D- -9-2

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Standard XII

Mathematics

Higher Order Equations

If 8,2 are th...

Question

If 8,2 are the roots of $x^{2} + a x + β = 0$ , and 3,3 are the roots of $x^{2} + α x + b = 0$ ,then the roots of $x^{2}$ + ax + b = 0 are :

8, -1

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-9, 2

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-8, -2

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9, 1

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Solution

The correct option is D
9, 1

8,2 are the roots of $x^{2} + a x + β = 0$ then a = -10 and 3, 3 are the roots of $x^{2} + α x + b = 0$ then b = 9 so roots of $x^{2}$ + ax + b = 0 are 9, 1

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If 8,2 are the roots of x2+ax+β=0 , and 3,3 are the roots of x2+αx+b=0 ,then the roots of x2 + ax + b = 0 are :

The correct option is D 9, 1 8,2 are the roots of x2+ax+β=0 then a = -10 and 3, 3 are the roots of x2+αx+b=0 then b = 9 so roots of x2 + ax + b = 0 are 9, 1

If 8,2 are the roots of $x^{2} + a x + β = 0$ , and 3,3 are the roots of $x^{2} + α x + b = 0$ ,then the roots of $x^{2}$ + ax + b = 0 are :

The correct option is D
9, 1

8,2 are the roots of $x^{2} + a x + β = 0$ then a = -10 and 3, 3 are the roots of $x^{2} + α x + b = 0$ then b = 9 so roots of $x^{2}$ + ax + b = 0 are 9, 1