Question

Решите уравнение 4х^2-12х+9=0 Пожалуйста

Answer 1

×$4x^{2} - 12x + 9 = 0 \\ D = 12^{2} - 144 = 0 \\ x = (-(-12) + 0) / 8 = 1,5$

Answer 2

Solving the Equation 4x^2 - 12x + 9 = 0

To solve the equation 4x^2 - 12x + 9 = 0, we can use the quadratic formula or factorization method. Let's use the quadratic formula:

The quadratic formula is given by:

x = (-b ± √(b^2 - 4ac)) / (2a)

In our equation, a = 4, b = -12, and c = 9. Substituting these values into the quadratic formula, we get:

x = (-(-12) ± √((-12)^2 - 4 * 4 * 9)) / (2 * 4)

Simplifying further:

x = (12 ± √(144 - 144)) / 8

x = (12 ± √0) / 8

Since the discriminant (√(b^2 - 4ac)) is equal to 0, the equation has only one real root.

x = 12 / 8

Simplifying:

x = 3/2

Therefore, the solution to the equation 4x^2 - 12x + 9 = 0 is x = 3/2.