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Ganezh [65]
3 years ago
5

Solve using the Quadratic Formula 5x2-3x-7=0 A) B) C) D)

Mathematics
1 answer:
vlabodo [156]3 years ago
3 0

Answer:

C) \displaystyle x=\frac{3 \pm \sqrt{149}}{10}

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

<u>Algebra I</u>

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

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

5x² - 3x - 7 = 0

↓

<em>a</em> = 5, <em>b</em> = -3, <em>c</em> = -7

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Substitute in variables [Quadratic Formula]:                                                  \displaystyle x=\frac{3 \pm \sqrt{(-3)^2-4(5)(-7)}}{2(5)}
  2. [√Radical] Evaluate exponents:                                                                       \displaystyle x=\frac{3 \pm \sqrt{9-4(5)(-7)}}{2(5)}
  3. [√Radical] Multiply:                                                                                           \displaystyle x=\frac{3 \pm \sqrt{9+140}}{2(5)}
  4. [√Radical] Add:                                                                                                 \displaystyle x=\frac{3 \pm \sqrt{149}}{2(5)}
  5. [Fraction] Multiply:                                                                                            \displaystyle x=\frac{3 \pm \sqrt{149}}{10}
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