Find the zeroes of the following quadratic polynomials and verify the relationship between the zeroes and the cofficients.1. 3x^2-x-4
Answers
Answered by
10
Given :-
To Find :-
Zeroes and verify
Solution :-
3x² - (3x - 4x) - 4 = 0
3x² - 3x + 4x - 4 = 0
3x(x + 1) - 4(x + 1) = 0
(3x - 4)(x + 1) = 0
Either
3x - 4 = 0
3x = 0 + 4
3x = 4
x = 4/3
or
x + 1 = 0
x = 0 - 1
x = -1
Verification
4/3 + (-1) = -(-1)/3
4/3 - 1 = 1/3
4 - 3/3 = 1/3
1/3 = 1/3
And
4/3 × -1 = -4/3
-4/3 = -4/3
Answered by
4
Given :-
To Find :-
Zeroes and verify
Solution :-
3x² - (3x - 4x) - 4 = 0
3x² - 3x + 4x - 4 = 0
3x(x + 1) - 4(x + 1) = 0
(3x - 4)(x + 1) = 0
Either
3x - 4 = 0
3x = 0 + 4
3x = 4
x = 4/3
or
x + 1 = 0
x = 0 - 1
x = -1
Verification
4/3 + (-1) = -(-1)/3
4/3 - 1 = 1/3
4 - 3/3 = 1/3
1/3 = 1/3
And
4/3 × -1 = -4/3
-4/3 = -4/3
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