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For what value of k the quadratic equation x²-kx+4=0 has equal roots?
Verified Answer
For what value of k the quadratic equation x²-kx+4=0 has equal roots?
Given Quadratic Equation is x^2 - kx + 4 = 0.

Comparing Equation with ax^2 + bx + c = 0

a = 1, b = -k, c = 4.

Given that the Equation has real roots.

D = 0

b^2 - 4ac = 0

(-k)^2 - 4(1)(4) = 0

k^2 - 16 = 0

k^2 = 16

k = 4 (or) - 4.
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Most Upvoted Answer
For what value of k the quadratic equation x²-kx+4=0 has equal roots?
X^2-kx+4=0
for having equal roots
b^2-4AC=0
(-k)^2-4(1)(4)=0
k^2-16=0
k=4or-4
Community Answer
For what value of k the quadratic equation x²-kx+4=0 has equal roots?
A+B=-k..
2a=-k..
a=-k/2 ... (1)...

also,a×b=4..
a^2=4 ...

a=+,- 2 ... (2)...

from eqn (1) &(2) ..

k=4 or (-4). ..
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For what value of k the quadratic equation x²-kx+4=0 has equal roots?
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