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kolbaska11 [484]
3 years ago
14

Solve 2x2 + 4x = 30 using the Quadratic Formula.

Mathematics
1 answer:
Maslowich3 years ago
6 0

Answer:

x=-5, 3

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS

<u>Algebra I</u>

  • Standard Form: ax² + bx + c = 0
  • Quadratic Formula: x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}

Step-by-step explanation:

<u>Step 1: Define equation</u>

2x² + 4x = 30

<u>Step 2: Rewrite into Standard Form</u>

2x² + 4x - 30 = 0

<u>Step 3: Define variables</u>

a = 2

b = 4

c = -30

<u>Step 4: Solve for </u><em><u>x</u></em>

  1. Substitute:                    x=\frac{-4\pm\sqrt{4^2-4(2)(-30)} }{2(2)}
  2. Evaluate:                       x=\frac{-4\pm\sqrt{16-4(2)(-30)} }{2(2)}
  3. Multiply:                        x=\frac{-4\pm\sqrt{16+240} }4}
  4. Add:                              x=\frac{-4\pm\sqrt{256} }4}
  5. Evaluate:                      x=\frac{-4\pm16 }4}
  6. Factor:                          x=\frac{4(-1\pm4)}4}
  7. Divide:                          x=(-1\pm4)
  8. Add/Subtract:              x=-5, 3

And we have our final answer!

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