Question

|РЕШИТЕ УРАВНЕНИЯ|!!! (1) 3x - 7 + 4 = 0 (2) 5x^2 - 8x + 3 = 0 (3) 3x^2 - 13x + 14 = 0

Answer 1

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Answer 2

(1) 3x - 7 + 4 = 0 Simplifying the left-hand side, we get: 3x - 3 = 0 Adding 3 to both sides, we get: 3x = 3 Dividing both sides by 3, we get: x = 1

Therefore, the solution to the first equation is x = 1.

(2) 5x^2 - 8x + 3 = 0 We can use the quadratic formula to solve this equation: x = (-b ± sqrt(b^2 - 4ac)) / 2a

In this case, a = 5, b = -8, and c = 3. Substituting these values into the quadratic formula, we get: x = (-(-8) ± sqrt((-8)^2 - 4(5)(3))) / 2(5) x = (8 ± sqrt(64 - 60)) / 10 x = (8 ± 2) / 10

So the solutions to the second equation are: x = 1 or x = 3/5

(3) 3x^2 - 13x + 14 = 0 We can also use the quadratic formula to solve this equation: x = (-b ± sqrt(b^2 - 4ac)) / 2a

In this case, a = 3, b = -13, and c = 14. Substituting these values into the quadratic formula, we get: x = (-(-13) ± sqrt((-13)^2 - 4(3)(14))) / 2(3) x = (13 ± sqrt(169 - 168)) / 6 x = (13 ± 1) / 6

So the solutions to the third equation are: x = 7/3 or x = 2/3