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If 2 is a root of the quadratic equation...

If 2 is a root of the quadratic equation `3x^2+p x-8=0` and the quadratic equation `4x^2-2p x+k=0` has equal roots, find the value of `kdot`

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To solve the problem, we need to follow these steps: ### Step 1: Use the fact that 2 is a root of the equation \(3x^2 + px - 8 = 0\) Since 2 is a root, we can substitute \(x = 2\) into the equation: \[ 3(2)^2 + p(2) - 8 = 0 ...
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RD SHARMA-QUADRATIC EQUATIONS-All Questions
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  2. If 1 is a root of the quadratic equation 3x^2+a x-2=0 and the quadrati...

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

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  4. 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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  5. 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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  6. If a , b , c , are real number such that a c!=0, then show that at lea...

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

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  8. find the values of k so, that the equation 3x^2+kx+2=0 has equal roots...

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

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

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

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  13. The positive value of k for which the equation x^2+k x+64=0 and x^2-8x...

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  14. The value of sqrt(6+sqrt(6+sqrt(6+))) ..........is (a) 4 (b) 3 (c) ...

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  15. If the equation (a^2+b^2)x^2-2(a c+b d)x+c^2+d^2=0 has equal roots, t...

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  16. A pole has to be erected at a point on the boundary of a circular park...

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  17. If 1+sqrt(2) is a root of a quadratic equation with rational coefficie...

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  18. Write the sum of real roots of the equation x^2+|x|-6=0

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  19. If the equation x^2-a x+1=0 has two distinct roots, then |a|=2 (b) |a|...

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  20. If one root of the equation 2x^2+b x+c=0 is three times the other, th...

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