If 2 is a root of the quadratic equation $3 x^{2} + p x - 8 = 0$ and the quadratic eqation $4 x^{2} - 2 p x + k = 0$ has equal roots, find the value of k.

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Solution

If 2 is root of equation
Then put x=2

So the equation, will be equal to

For the equation to have equal roots, D=0
where D =

D= 16-16k=0
k=1
Hence the equation has equal roots when k=1

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If 2 is a root of the quadratic equation 3x2+px−8=0 and the quadratic eqation 4x2−2px+k=0 has equal roots, find the value of k.

If 2 is root of equation Then put x=2 So the equation, will be equal to For the equation to have equal roots, D=0 where D = D= 16-16k=0 k=1 Hence the equation has equal roots when k=1

If 2 is a root of the quadratic equation $3 x^{2} + p x - 8 = 0$ and the quadratic eqation $4 x^{2} - 2 p x + k = 0$ has equal roots, find the value of k.

If 2 is root of equation
Then put x=2

So the equation, will be equal to

For the equation to have equal roots, D=0
where D =

D= 16-16k=0
k=1
Hence the equation has equal roots when k=1