Question

3х^2-28х+9=0 Помогите решить через дискриминант , пожалуйста это очень срочно

Answer 1

$D=(-28)^{2} -4*3*9=676\\\sqrt{D} =26\\\left \{ {{x=\frac{28+26}{6} } \atop {x=\frac{28-26}{6} }} \right. \\\left \{ {{x=9} \atop {x=\frac{1}{3} }} \right.$

Answer 2

Решение на фото, хорошего дня

Answer 3

Solving the Quadratic Equation 3x^2 - 28x + 9 = 0

To solve the quadratic equation 3x^2 - 28x + 9 = 0 using the discriminant, we can follow these steps:

1. Identify the Coefficients - Coefficients of the quadratic equation are: - a = 3 - b = -28 - c = 9

2. Calculate the Discriminant - The discriminant (Δ) is calculated using the formula: Δ = b^2 - 4ac - Substituting the values, we get: Δ = (-28)^2 - 4*3*9 - Calculating, Δ = 784 - 108 - Therefore, Δ = 676

3. Determine the Nature of Roots - If the discriminant is positive, the equation has two distinct real roots. - If the discriminant is zero, the equation has one real root. - If the discriminant is negative, the equation has no real roots.

4. Find the Roots - The roots of the quadratic equation can be found using the formula: - x = (-b ± √Δ) / (2a) - Substituting the values of a, b, and Δ, we get: - x = (28 ± √676) / 6 - x = (28 ± 26) / 6 - This gives us two possible roots: - x1 = (28 + 26) / 6 = 54 / 6 = 9 - x2 = (28 - 26) / 6 = 2 / 6 = 1/3

Conclusion

The roots of the quadratic equation 3x^2 - 28x + 9 = 0, when solved using the discriminant, are: - x1 = 9 - x2 = 1/3