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Parker Collins
Mathematics
30 July, 21:01
What is the root of the equation 6x^2-7x-5=0
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Teresa Nielsen
30 July, 21:06
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The roots are {-1/2, 5/3}.
Step-by-step explanation:
6x^2 - 7x - 5 = 0
Use the 'ac' method:
6 * - 5 = - 30 so we need to find 2 values whose product is - 30 and whose sum = the coefficient of x in the given equation (-7).
-10 and + 3 fit the bill so we write:
6x^2 - 7x - 5 = 0
6x^2 + 3x - 10x - 5 = 0 Factor by grouping:
3x (2x + 1) - 5 (2x + 1) = 0
(3x - 5) (2x + 1) = 0
So 3x - 5 = 0 gives x = 5/3, and
2x + 1 = 0 gives x = - 1/2.
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