Question

1)x^2-17x-72=0 2)x^2-9x+20=0 3)x^2+9x+14=0 4)2x^2-23x+65=0 5)2x^2-27x+88=0

Answer 1

Ответ:

1) x × 2 - 17x - 72 = 0

2x - 17x - 72 = 0

-15x - 72 = 0

-15x = 72

x = - 24/5

2) x × 2 - 9x + 20 = 0

2x - 9x + 20 = 0

-7x + 20 = 0

-7x = - 20

x = 20/7

3) x × 2 + 9x + 14 = 0

2x + 9x + 14 = 0

11x + 14 = 0

11x = - 14

x = - 14/11

4) 2x × 2 - 23x + 65 = 0

4x - 23x + 65 = 0

-19x + 65 = 0

-19x = - 65

x = 65/19

5) 2x × 2 - 27x + 88 = 0

4x - 27x + 88 = 0

-23x + 88 = 0

-23x = - 88

x = 88/23

Объяснение:

вроде всё

Answer 2

To find the solutions for each quadratic equation, we can use the quadratic formula, which states that for an equation of the form ax^2 + bx + c = 0, the solutions are given by:

x = (-b ± √(b^2 - 4ac)) / (2a)

Let's solve each equation one by one:

1. x^2 - 17x - 72 = 0 Using the quadratic formula: a = 1, b = -17, c = -72

x = (-(-17) ± √((-17)^2 - 4 * 1 * (-72))) / (2 * 1) x = (17 ± √(289 + 288)) / 2 x = (17 ± √577) / 2

Therefore, the solutions for equation 1 are: x = (17 + √577) / 2 x = (17 - √577) / 2

2. x^2 - 9x + 20 = 0 Using the quadratic formula: a = 1, b = -9, c = 20

x = (-(-9) ± √((-9)^2 - 4 * 1 * 20)) / (2 * 1) x = (9 ± √(81 - 80)) / 2 x = (9 ± √1) / 2

Therefore, the solutions for equation 2 are: x = (9 + 1) / 2 x = (9 - 1) / 2 x = 5, 4

3. x^2 + 9x + 14 = 0 Using the quadratic formula: a = 1, b = 9, c = 14

x = (-9 ± √(9^2 - 4 * 1 * 14)) / (2 * 1) x = (-9 ± √(81 - 56)) / 2 x = (-9 ± √25) / 2

Therefore, the solutions for equation 3 are: x = (-9 + 5) / 2 x = (-9 - 5) / 2 x = -2, -7

4. 2x^2 - 23x + 65 = 0 Using the quadratic formula: a = 2, b = -23, c = 65

x = (-(-23) ± √((-23)^2 - 4 * 2 * 65)) / (2 * 2) x = (23 ± √(529 - 520)) / 4 x = (23 ± √9) / 4

Therefore, the solutions for equation 4 are: x = (23 + 3) / 4 x = (23 - 3) / 4 x = 6, 5

5. 2x^2 - 27x + 88 = 0 Using the quadratic formula: a = 2, b = -27, c = 88

x = (-(-27) ± √((-27)^2 - 4 * 2 * 88)) / (2 * 2) x = (27 ± √(729 - 704)) / 4 x = (27 ± √25) / 4

Therefore, the solutions for equation 5 are: x = (27 + 5) / 4 x = (27 - 5) / 4 x = 8, 5

So, the solutions for each equation are:

1. x = (17 + √577) / 2, x = (17 - √577) / 2
2. x = 5, 4
3. x = -2, -7
4. x = 6, 5
5. x = 8, 5