Which shows the correct substitution of values a, b, and c from the equation 1=-2x+3x^2+1 is the quadratic formula ?

Step-by-step explanation:

* Lets revise the general form of the quadratic equation

- The general form of the quadratic equation is Ax² + Bx + C = 0,

  where A , B , C are constant

# A is the coefficient of x²

# B is the coefficient of x

# C is the numerical term

- The quadratic formula is

* Lets solve the problem

∵ 1 = -2x + 3x² + 1

- Subtract 1 from both side

∴ 0 = -2x + 3x²

- Switch the two sides

∴ -2x + 3x² = 0

- Arrange the equation from the greatest power of x to the smallest

∴ 3x² - 2x = 0

∵ A is the coefficient of x²

∴ A = 3

∵ B is the coefficient of x

∴ B = -2

∵ C is the numerical term

∵ There is no numerical term

∴ C = 0

- Substitute the values of A , B , C in the formula

∴

a) y = -3x +2

b) y = 1/2x -6

these 2 can be combined into one equation.

-3x +2 = .5x -6

8 = 3.5x

x = 8 / 3.5 = 2.2857142857

y = -3 * (8 / 3.5) +2

y = (-24 / 3.5) + 2

y = -4.8571428571

step-by-step explanation: