Question

find the zeros of the quadratic polynomial 4x²-4x-3 and verify the relation between the zeros and its coefficient .

plzzzz tell fast it is very urgent .

Answer 1

GIven Equation is 4x^2 - 4x - 3.

4x^2 - 6x + 2x - 3

2x(2x - 3) + 1(2x - 3)

(2x + 1)(2x - 3).

x = -1/2, 3/2.


Now,

We know that Sum of zeroes = -b/a

                             -1/2 + 3/2    = 4/4

                                       1        = 1.



We know that product of zeroes = c/a

                                    -1/2 * 3/2    = -3/4.

                                       -3/4 = -3/4


Hope this helps!

Answer 2

Here is your answer
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➡ Sum of the roots of x2 + 2√2 x - 6
= -2√2 / 1= -2√2

➡Product of the roots of x2 + 2√2 x - 6
= -6 / 1 = -6

➡ Sum of the roots of the quadratic equation ax2 + bx + c
= 0 is -b/a.


Now,Product of the roots of the quadratic equation ax2+ bx + c
= 0 is c





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roots of the quadratic equation ax2+ bx + c
= 0 is c


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