Question

X^2-7x^2+6=0 Help!!! через дискриминант

Answer 1

X=0,x=1...................

Answer 2

На фотографии все расписано), но , возможно, ты не так списала, т.к через дискриминант можно решать, если присутствует и b  и c....)
Удачиии**************************************************************************

Answer 3

To solve the quadratic equation x^2 - 7x + 6 = 0 using the discriminant, we can follow these steps:

Step 1: Identify the coefficients of the quadratic equation. In this case, the coefficients are: a = 1 (coefficient of x^2) b = -7 (coefficient of x) c = 6 (constant term)

Step 2: Calculate the discriminant. The discriminant (D) is calculated using the formula: D = b^2 - 4ac. In this case, substituting the values: D = (-7)^2 - 4 * 1 * 6 D = 49 - 24 D = 25

Step 3: Analyze the value of the discriminant. The value of the discriminant tells us about the nature of the solutions:

• If D > 0, the equation has two distinct real solutions.
• If D = 0, the equation has one real solution (a repeated root).
• If D < 0, the equation has no real solutions (complex roots).

In this case, D = 25, which is greater than 0. Therefore, the equation has two distinct real solutions.

Step 4: Solve the equation. To find the solutions, we can use the quadratic formula: x = (-b ± √D) / (2a)

Substituting the values: x = (-(-7) ± √25) / (2 * 1) x = (7 ± 5) / 2

Therefore, the solutions are: x1 = (7 + 5) / 2 = 12 / 2 = 6 x2 = (7 - 5) / 2 = 2 / 2 = 1

Hence, the solutions to the quadratic equation x^2 - 7x + 6 = 0 are x = 6 and x = 1.