Question

find the zero of the quadratic polynomial and verify the relationship between the zero and the co-effectients 2x^2-3+5x

Answer 1

Solution

Given :-

• Equation, 2x² - 3 + 5x = 0

Find :-

• Zeroes of given equation ,
• verify the relationship between the zero and the co-effectients

Explanation

Given equation,

==> 2x² + 5x - 3 = 0

Now, Calculate zeroes of given equation,

==> 2x² + 6x - x - 3 = 0

==> 2x(x+3)-1(x+3) = 0

==> (2x-1)(x+3) = 0

==> 2x - 1 = 0. , Or x + 3 = 0

==> 2x = 1 Or, x = -3

==> x = 1/2 Or. x = -3

Hence

• Zeroes of given equation, be x = 1/2 & -3

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Now, Calculate relationship between zeroes & coefficient

Using Formula

★ Sum of zeroes = -(Coefficient of x)/(Coefficient of x²)

★ Product of zeroes = (constant part)/(Coefficient of x²)

So,Let

• Zeroes is p & q

==> Sum of zeroes = -5/2

==> p + q = -5/2 ----------(1)

And,

==> product of zeroes = -3/2

==> p . q = -3/2--------------(2)

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Answer 2

Answer:

-2/3 is answer of question