Question

+ 4 = (). ах + 5 = 0,2) 7х2 + 18х + 5.4) 9х2 – 4х – 2 = 0.2) Зу? — бу + 3 = 04) 2у2 + 9y – 486 - 03) 5х2 - 12х + 4 = |7.8. 1) 0,25х2 - x+ 1 = 0;3) – 3х2 + 11х + 4 = 0;7.9. 1) Зу? + 7y + 4 = 0;3) 9y? — бу + 1 = 0;7. 10. Используя формулу для нахождения корненения ах2 + 2kx + c = 0 (когда второйое число), найдите корни уравнениНиЯ — Четное чи1) 3х2 - 14х + 16 = 0;3) 5х2 – 16х + 3 = 0;очей квадратнорой коэффициент2) 4х2 – 36х + 77 = 0.4) 7y? — 20y + 14 = 0​

Answer 1

Объяснение:

тут не всё, но некоторое как то так... не точно! но все же

Answer 2

To solve these equations, let's go through each one step by step:

1. 3x^2 - 14x + 16 = 0

To find the roots of this quadratic equation, we can use the quadratic formula: x = (-b ± √(b^2 - 4ac)) / (2a).

For this equation, a = 3, b = -14, and c = 16. Substituting these values into the quadratic formula, we get:

x = (-(-14) ± √((-14)^2 - 4 * 3 * 16)) / (2 * 3) x = (14 ± √(196 - 192)) / 6 x = (14 ± √4) / 6 x = (14 ± 2) / 6

This gives us two possible solutions: x1 = (14 + 2) / 6 = 16 / 6 = 8 / 3 x2 = (14 - 2) / 6 = 12 / 6 = 2

Therefore, the roots of the equation are x = 8/3 and x = 2.

2. 5x^2 - 16x + 3 = 0

Using the quadratic formula with a = 5, b = -16, and c = 3, we have:

x = (-(-16) ± √((-16)^2 - 4 * 5 * 3)) / (2 * 5) x = (16 ± √(256 - 60)) / 10 x = (16 ± √196) / 10 x = (16 ± 14) / 10

This gives us two solutions: x1 = (16 + 14) / 10 = 30 / 10 = 3 x2 = (16 - 14) / 10 = 2 / 10 = 1/5

Therefore, the roots of the equation are x = 3 and x = 1/5.

3. 4x^2 - 36x + 77 = 0

Using the quadratic formula with a = 4, b = -36, and c = 77, we have:

x = (-(-36) ± √((-36)^2 - 4 * 4 * 77)) / (2 * 4) x = (36 ± √(1296 - 1232)) / 8 x = (36 ± √64) / 8 x = (36 ± 8) / 8

This gives us two solutions: x1 = (36 + 8) / 8 = 44 / 8 = 11 / 2 x2 = (36 - 8) / 8 = 28 / 8 = 7 / 2

Therefore, the roots of the equation are x = 11/2 and x = 7/2.

4. 7y^2 - 20y + 14 = 0

Using the quadratic formula with a = 7, b = -20, and c = 14, we have:

y = (-(-20) ± √((-20)^2 - 4 * 7 * 14)) / (2 * 7) y = (20 ± √(400 - 392)) / 14 y = (20 ± √8) / 14 y = (20 ± 2√2) / 14

Simplifying the expression, we get: y = (10 ± √2) / 7