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kirill115 [55]
2 years ago
12

3k2-19=15k-1 solve by factoring

Mathematics
1 answer:
kow [346]2 years ago
6 0

For this case we must factor the following expression:

3k ^ 2-19 = 15k-1

We manipulate algebraically, taking into account that different signs are subtracted and the sign of the major is placed:

3k ^ 2-15k-19 + 1 = 0\\3k ^ 2-15k-18 = 0

We divide by 3 on both sides of the equation:

k ^ 2-5k-6 = 0

To factor, we look for two numbers that, when multiplied, result in -6 and when added, result in -5. These numbers are -6 and +1.

-6 + 1 = -5\\-6 * (+ 1) = - 6

Thus, we factor the equation:

(k-6) (k + 1) = 0

The roots of the equation are:

k_ {1} = 6\\k_ {2} = - 1

ANswer:

k_ {1} = 6\\k_ {2} = - 1

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