Question

If one zero of 2 – 3x + k is reciprocal to the other, then find the value of k.

Answer 1

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Correct Quadratic Equation  :- 2x²- 3x + k

NOTE :- Quadratic form always be like this : ax² + bx + c.

It is given that :- One Zero  is reciprocal to the other.

Therefore :- Let the 2 zeroes are α and 1/α.

2x²- 3x + k

Here:-

a = 2 ,b = -3, c = k

Product of zeroes = α × 1/α = 1  

( αβ = c/a )

1 =  k/2

k = 2

$\huge{\boxed{\sf{Hence,\:The\:value\:of \:k\:=\:2.}}}$

Answer 2

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