Solve by co pelting the square 4x^2-16x+5=-2
1 answer:
Answer:
x = 1/2, 7/2
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction
Equality Properties
<u>Algebra I</u>
Completing the Square: (b/2)² Factoring Step-by-step explanation:
<u>Step 1: Define</u>
4x² - 16x + 5 = -2
<u>Step 2: Solve for </u><em><u>x</u></em>
Isolate <em>x </em>terms: 4x² - 16x = -7 Factor GCF: 4(x² - 4x) = -7 Isolate <em>x </em>terms: x² - 4x = -7/4 Complete the Square: x² - 4x + 4 = -7/4 + 4 Simplify: (x - 2)² = 9/4 Square root both sides: x - 2 = ±3/2 Isolate <em>x</em>: x = 2 ± 3/2 Evaluate: x = 1/2, 7/2
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Factorization
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This can be easily factorized into (x+7)(x+9)=0 which can be solved for the two roots x = -7 and x = -9
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Step-by-step explanation:
The correct answer is 12. Hope this helps.