please send important question of quadratic equation
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Heya!
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There are the important question of quadratic equation which will help you!!
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1)Find the condition for one root of the equation of a x^2 + b x + c = 0to be negative of the other.
2)Find the condition for one root of the equation a x^2 + b x + c = 0 tobe reciprocal of the other.
3)Find the condition for one root of the equation a x^2 + b x + c = 0 tobe 4 times the other.
4)Find the condition for the roots of the equation a x^2+ b x + c = 0 to be in the ratio 4 : 5.
5)If α ,β are the roots of the equation x^2+ 4 x - 5 = 0, find the equation whose roots are α^2+ β^2 , α + β.
6)If α ,β are the roots of the equation x^2 + 2 x – 7 = 0, then find the value of (1/α) + (1/β) + (1/ α^2)+(1/β^2) + ( 1/α^3) + (1/β^3)
.7)If α ,β are the roots of the equation x^2+ 3 x – 8 = 0, find the values of α^2 + β^2, α^3+ β , α^4+ β^4.
8)Prove that any quadratic equation has maximum two roots.
9)If α ,β are the roots of the equation a x^2 + b x + c = 0, find theequation whose roots are 1/α, 1/β.
10)In a two digit number, product of the digits is 6. If we add 9 to thenumber the digits get reversed. Find the number.
Hope this helps u!!
_____________________________________________________________
__________________________________________________________________________________________________________________________
There are the important question of quadratic equation which will help you!!
____________________________________________________________
1)Find the condition for one root of the equation of a x^2 + b x + c = 0to be negative of the other.
2)Find the condition for one root of the equation a x^2 + b x + c = 0 tobe reciprocal of the other.
3)Find the condition for one root of the equation a x^2 + b x + c = 0 tobe 4 times the other.
4)Find the condition for the roots of the equation a x^2+ b x + c = 0 to be in the ratio 4 : 5.
5)If α ,β are the roots of the equation x^2+ 4 x - 5 = 0, find the equation whose roots are α^2+ β^2 , α + β.
6)If α ,β are the roots of the equation x^2 + 2 x – 7 = 0, then find the value of (1/α) + (1/β) + (1/ α^2)+(1/β^2) + ( 1/α^3) + (1/β^3)
.7)If α ,β are the roots of the equation x^2+ 3 x – 8 = 0, find the values of α^2 + β^2, α^3+ β , α^4+ β^4.
8)Prove that any quadratic equation has maximum two roots.
9)If α ,β are the roots of the equation a x^2 + b x + c = 0, find theequation whose roots are 1/α, 1/β.
10)In a two digit number, product of the digits is 6. If we add 9 to thenumber the digits get reversed. Find the number.
Hope this helps u!!
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