Question

If a and b are the zeros of the
quadratic polynomial f(x) = x²-x- 4. find
value of
of 1/a + 1/b - ab​

Answer 1

Solution

Given :-

• equation, f(x) = x² - x - 4
• a & b are zeroes.

Find '-

• Value of 1/a + 1/b - ab

Explanation

Formula,

★Sum of zeroes = -b/a

★ product of zeroes = c/a

Where,

• a = coefficient of x²
• b = coefficient of x
• c = constant part

So,

==> Sum of zeroes = -(-1)

==> a + b = 1 -----------(1)

and,

==> product of zeroes = -4/1

==> a . b = -4 --------------(2)

Now, calculate Value of 1/a + 1/b - ab

==> 1/a + 1/b - ab

keep Value of a & b

==> (a + b)/ab - ab

Keep Value by equ(1) & equ(2)

==> (1)/4 - 4

==> (1-4*4)/4

==> (1-16)/4

==> 15/4

Ans

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Answer 2

Uper answer mil to gaya