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QUANTUM CAT-THEORY OF EQUATIONS-QUESTION BANK
- If the two roots of any quadratic equation are sqrt3 and sqrt3, how ma...
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- If the two factors of any quadratic equation are (x+sqrt3) and (x-sqr...
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- If a quadratic equation is multiplied by 4, the roots of the new equat...
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- If one root is 3-sqrt5 and the other root is 3+sqrt5, find the possibl...
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- Roots are real only when D is non-negative.
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- Roots are complex (or imaginary) when D is negative.
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- Roots are rational only when D is a perfect square number like 0,1,4,9...
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- Roots are equal only when D =0.
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- The equal roots are called Double Root.
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- When the roots are irrational they are in conjugate pairs as if one ro...
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- When the roots are complex they are in conjugate pairs as if one root ...
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- If Dgt0,a=1,b,cinZ (integer numbers) and roots are rational,prove tha...
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- If a quadratic equation has one real root and a,b,cinR. other root is ...
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- If the roots are real and equal, the graph will touch the x-axis.
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- If the roots are real and unequal, the graph will intercept the X-axis...
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- If the roots are non-real, the. graph does not touch the X-axis.
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- The points on the x-axis, where the quadratic graph touches or interce...
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- Find the nature of the roots of the quadratic equation (a-b)x^2+(b-c)x...
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- If (a+b+c=0, find the nature of the roots of ttie equation (c^2-ab)x...
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- Determine k for which the roots of the equation 9x^(2)+2kx+4=0 are equ...
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