Please teach me a step by step method of using the Casio fx-991ms for equations and polynomial

Mathematics

ScanSolve AI Answer

Answer

The solution is

x=1,y=53x=1, y=\frac{5}{3}

The solutions are

x=3,x=2x=3, x=2

Step-by-step solution

8 steps

Here's a step-by-step guide on how to use your Casio fx-991MS calculator for equations and polynomials.

Solving Simultaneous Equations (Equations with "Unknowns")

This method is for solving systems of linear equations, such as:

{a1x+b1y=c1a2x+b2y=c2\begin{cases} a_1x + b_1y = c_1 \\ a_2x + b_2y = c_2 \end{cases}

or for three variables.

  1. Enter EQN Mode.

    Press MODE three times until EQN appears on the screen. Select 1 for EQN.

  2. Select "Unknowns".

    The calculator will ask Unknowns?. Select 2 for two variables or 3 for three variables.
    Let's use an example for 2 unknowns:

    {2x+3y=74x−y=1\begin{cases} 2x + 3y = 7 \\ 4x - y = 1 \end{cases}
  3. Input coefficients.

    The calculator will prompt for the coefficients a1, b1, c1, a2, b2, c2, etc. Enter each coefficient followed by the == button.
    For the example above, input:
    2=3=7=4=−1=1=2 = 3 = 7 = 4 = -1 = 1 =

  4. View solutions.

    Press == again to display the value of XX. Press == again to display the value of YY.
    For the example, you will get:
    X=1X = 1
    Y=1.666666667Y = 1.666666667 (which is 53\frac{5}{3})
    The solution is: x=1,y=53\boxed{x=1, y=\frac{5}{3}}

    Solving Polynomial Equations (Equations with "Degree")

    This method is for finding the roots of polynomial equations, such as quadratic (ax2+bx+c=0ax^2+bx+c=0) or cubic (ax3+bx2+cx+d=0ax^3+bx^2+cx+d=0) equations.

  5. Enter EQN Mode.

    Press MODE three times until EQN appears on the screen. Select 1 for EQN.

  6. Select "Degree".

    The calculator will ask Unknowns?. Press the right arrow key >> to change to Degree?. Select 2 for a quadratic equation or 3 for a cubic equation.
    Let's use an example for a quadratic equation:

    x2−5x+6=0x^2 - 5x + 6 = 0
  7. Input coefficients.

    The calculator will prompt for the coefficients aa, bb, cc (and dd for cubic). Enter each coefficient followed by the == button.
    For the example above, input:
    1=−5=6=1 = -5 = 6 =

  8. View solutions.

    Press == again to display the first root X1. Press == again to display the second root X2.
    For the example, you will get:
    X1=3X1 = 3
    X2=2X2 = 2
    The solutions are: x=3,x=2\boxed{x=3, x=2}

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