Factorise and also explain
9x^2-3x-20
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Answered by
15
Given: The quadratic equation 9x^2 - 3x - 20 = 0
To find: Factorise the given equation.
Solution:
- We have given the quadratic polynomial, that is:
9x^2 - 3x - 20 = 0
- The roots of the equation are:
3 ± √(-3)² - 4(9)(-20) / 2(9)
3 ± √(9 + 720) / 18
3 ± √729 / 18
3 ± 27 / 18
30 / 18, -24 / 18
5/3 and -4/3
- So the factors are: (x - 5/3) ( x + 4/3)
Answer:
So the factorisation of 9x^2 - 3x - 20 is (x - 5/3) ( x + 4/3)
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5
Step-by-step explanation:
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