Question

X²- 6x - 7 = 0 Дискриминат​

Answer 1

$x^{2} - 6x - 7 = 0$

$a = 1; b = -6; c = -7$

$D = b^{2} - 4ac = (-6)^{2} - 4 * 1 * (-7) = 36 + 28 = 64 = 8^{2}$

x₁₂ = -b ± $\sqrt{D}$ / 2a = -(-6) ± $\sqrt{64}$ / 2 * 1

x₁ = $\frac{6+8}{2} = \frac{14}{2} = 7$

x₂ = $\frac{6-8}{2} = -\frac{2}{2} = -1$

Ответ: -1, 7

Answer 2

To find the discriminant of a quadratic equation in the form of ax^2 + bx + c = 0, where a, b, and c are coefficients, you can use the formula:

Discriminant (D) = b^2 - 4ac

In your equation, x^2 - 6x - 7 = 0, we can identify the coefficients as follows: a = 1 b = -6 c = -7

Now, we can substitute these values into the formula to find the discriminant:

D = (-6)^2 - 4(1)(-7) D = 36 + 28 D = 64

Therefore, the discriminant (D) of the equation x^2 - 6x - 7 = 0 is 64.