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For what value of k ,(4-k)x^2+(2k+4)x+(8...

For what value of `k ,(4-k)x^2+(2k+4)x+(8k+1)=0` is a perfect square.

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RD SHARMA ENGLISH-QUADRATIC EQUATIONS-All Questions
  1. If p ,q are real p!=q , then show that the roots of the equation (p-q)...

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  2. If -5 is a root of the quadratic equation 2x^2+p x-15=0 and the quadra...

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  3. For what value of k ,(4-k)x^2+(2k+4)x+(8k+1)=0 is a perfect square.

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  4. Prove that the equation x^2(a^2+b^2)+2x(a c+b d)+(c^2+d^2)=0 has no re...

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  5. Find the value of k for which the quadratic equation (k+4)x^2+(k+1)x...

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  6. If the roots of the equation (b-c)x^2+(c-a)x+(a-b)=0 are equal, then ...

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  7. If the roots of the equation (a^2+b^2)x^2-2(a c+b d)x+(c^2+d^2)=0 are ...

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  8. Find the least positive value of k for which the equation x^2+k x+4=0 ...

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  9. Find the values of k for which the given quadratic equation has real a...

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  10. If 1 is a root of the quadratic equation 3x^2+a x-2=0 and the quadrati...

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  11. If 2 is a root of the quadratic equation 3x^2+p x-8=0 and the quadrati...

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  12. Show that the equation 2(a^2+b^2)x^2+2(a+b)x+1=0 has no real roots, w...

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  13. If the roots of the equation (c^2-a b)x^2-2(a^2-b c)x+b^2-a c=0 are eq...

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  14. If a , b , c , are real number such that a c!=0, then show that at lea...

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  15. Show that the roots of the equation: (x-a) (x -b) +(x- b) (x-c)+ (x- c...

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  16. find the values of k so, that the equation (3k+1)x^2+2(k+1)x+1=0 has e...

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  17. If the equation (1+m^2)x^2+2m c x+(c^2-a^2)=0 has equal roots, prove t...

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  18. If -5 is a root of the quadratic equation 2x^2+p x-15=0 and the quadra...

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  19. Find the values of p for whch the equadratic equation (2p+1)x^2-(7p+2...

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  20. If a x^2+b x+c=0 has equal roots, then c= (a)b/(2a) (b) b/(2a) (c) ...

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