Question

If 1/2 is a root of the equation x2 + kx – (5/4) = 0 then the value of k is​

Answer 1

Answer:

2

Step-by-step explanation:

If (1/2) is root of this equation, it must satisfy all the condition.

So when equation will still be same if put x = 1/2:

→ (1/2)² + k(1/2) - (5/4) = 0

→ 1/4 + k/2 - 5/4 = 0

→ (1 + 2k - 5)/4 = 0

→ 1 + 2k - 5 = 0

→ 2k - 4 = 0

→ 2k = 4

→ k = 4/2 = 2

Answer 2

Answer:

K=2

Step-by-step explanation:

x=1/2

x^2+kx-5/4=0

substituting value of x in the above equation

(1/2)^2+k(1/2)-5/4=0

1/4+k/2-5/4=0

1-5/4+k/2=0

-4/4+k/2=0

-4+2k/4=0

-4+2k=0

-(4-2k)=0

4-2k=0

2k=4

k=4/2

k=2

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