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quotion four different ways. Show ll work for creditl

x^(2)+2x!=-3quadx^(2)+2x-3=0
Graphing
You must plot accurate

quotion four different ways. Show ll work for creditl\newlinex2+2x3x2+2x3=0 x^{2}+2 x \neq-3 \quad x^{2}+2 x-3=0 \newlineGraphing\newlineYou must plot accurate

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Q. quotion four different ways. Show ll work for creditl\newlinex2+2x3x2+2x3=0 x^{2}+2 x \neq-3 \quad x^{2}+2 x-3=0 \newlineGraphing\newlineYou must plot accurate
  1. Factoring: First method: Factoring.\newlinex2+2x3=0x^2 + 2x - 3 = 0 can be factored into (x+3)(x1)=0(x + 3)(x - 1) = 0.
  2. Set equal and solve: Set each factor equal to zero: x+3=0x + 3 = 0 or x1=0x - 1 = 0.
  3. Completing the square: Solve for xx: x=3x = -3 or x=1x = 1.
  4. Take square root and solve: Second method: Completing the square. x2+2x=3x^2 + 2x = 3. Add (22)2=1(\frac{2}{2})^2 = 1 to both sides to complete the square.
  5. Quadratic formula: We get x2+2x+1=4x^2 + 2x + 1 = 4, which is (x+1)2=4(x + 1)^2 = 4.
  6. Calculate discriminant: Take the square root of both sides: x+1=±2x + 1 = \pm 2.
  7. Graphing: Solve for xx: x=1±2x = -1 \pm 2, which gives x=1x = 1 or x=3x = -3.
  8. Graphing: Solve for xx: x=1±2x = -1 \pm 2, which gives x=1x = 1 or x=3x = -3.Third method: Quadratic formula.x=[2±224(1)(3)]/(21)x = [-2 \pm \sqrt{2^2 - 4(1)(-3)}]/(2\cdot1).
  9. Graphing: Solve for xx: x=1±2x = -1 \pm 2, which gives x=1x = 1 or x=3x = -3.Third method: Quadratic formula.x=[2±224(1)(3)]/(21)x = [-2 \pm \sqrt{2^2 - 4(1)(-3)}]/(2\cdot1).Calculate the discriminant: 4+12=16\sqrt{4 + 12} = \sqrt{16}.
  10. Graphing: Solve for xx: x=1±2x = -1 \pm 2, which gives x=1x = 1 or x=3x = -3.Third method: Quadratic formula.x=[2±224(1)(3)]/(21)x = [-2 \pm \sqrt{2^2 - 4(1)(-3)}]/(2\cdot1).Calculate the discriminant: 4+12=16\sqrt{4 + 12} = \sqrt{16}.Solve for xx: x=[2±4]/2x = [-2 \pm 4]/2, which gives x=1x = 1 or x=3x = -3.
  11. Graphing: Solve for xx: x=1±2x = -1 \pm 2, which gives x=1x = 1 or x=3x = -3.Third method: Quadratic formula.x=[2±224(1)(3)]/(21)x = [-2 \pm \sqrt{2^2 - 4(1)(-3)}]/(2\cdot1).Calculate the discriminant: 4+12=16\sqrt{4 + 12} = \sqrt{16}.Solve for xx: x=[2±4]/2x = [-2 \pm 4]/2, which gives x=1x = 1 or x=3x = -3.Fourth method: Graphing.\newlinePlot the equation x=1±2x = -1 \pm 200 and find the x-intercepts.
  12. Graphing: Solve for xx: x=1±2x = -1 \pm 2, which gives x=1x = 1 or x=3x = -3.Third method: Quadratic formula.x=[2±224(1)(3)]/(21)x = [-2 \pm \sqrt{2^2 - 4(1)(-3)}]/(2\cdot1).Calculate the discriminant: 4+12=16\sqrt{4 + 12} = \sqrt{16}.Solve for xx: x=[2±4]/2x = [-2 \pm 4]/2, which gives x=1x = 1 or x=3x = -3.Fourth method: Graphing.Plot the equation x=1±2x = -1 \pm 200 and find the x-intercepts.The x-intercepts are the solutions to the equation, which are x=1x = 1 and x=3x = -3.

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