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Use the quadratic formula to solve quadratic equation.​

Use The Quadratic Formula To Solve Quadratic Equation class=

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HELLO6776GO

[tex]\large\bold\green{{Answer/Explanation:}}[/tex]

Evaluate

  • [tex]x²\:−\:2x\:−\:48\:=\:0[/tex]

Factor the expression

  • [tex](\:x\:−\:8\:)(\:x\:+\:6\:)\:=\:0[/tex]

Separate the equation into 2 possible cases

  • [tex]x\:−\:8\:=\:0[/tex]
  • [tex]x\:+\:6\:=\:0[/tex]

Evaluate

  • [tex]x\:=\:8[/tex]
  • [tex]x\:+\:6\:=\:0[/tex]

Evaluate

  • [tex]x\:=\:8[/tex]
  • [tex]x\:=\:−6[/tex]

Solution

  • [tex]\begin{gathered}\begin{aligned}x_1\:=\:−6,\:x_2\:=\:8\end{aligned}\end{gathered}[/tex]
JACOBMPLGO

[tex]\large\bold\green{{Answer/Explanation:}}[/tex]

Evaluate

  • [tex]x²\:−\:2x\:−\:48\:=\:0[/tex]

Factor the expression

  • [tex](\:x\:−\:8\:)(\:x\:+\:6\:)\:=\:0[/tex]

Separate the equation into 2 possible cases

  • [tex]x\:−\:8\:=\:0[/tex]
  • [tex]x\:+\:6\:=\:0[/tex]

Evaluate

  • [tex]x\:=\:8[/tex]
  • [tex]x\:+\:6\:=\:0[/tex]

Evaluate

  • [tex]x\:=\:8[/tex]
  • [tex]x\:=\:−6[/tex]

Solution

  • [tex]\begin{gathered}\begin{aligned}x_1\:=\:−6,\:x_2\:=\:8\end{aligned}\end{gathered}[/tex]

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