Solve by co pelting the square 4x^2-16x+5=-2

Mathematics

1 answer:

Paha777 [63]3 years ago

5 0

Answer:

x = 1/2, 7/2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Algebra I

Completing the Square: (b/2)²
Factoring

Step-by-step explanation:

Step 1: Define

4x² - 16x + 5 = -2

Step 2: Solve for x

Isolate x terms: 4x² - 16x = -7
Factor GCF: 4(x² - 4x) = -7
Isolate x 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 x: x = 2 ± 3/2
Evaluate: x = 1/2, 7/2

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A different species of cockroach has weights that are approximately Normally distributed with a mean of 50 grams. After measurin

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Answer:

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Step-by-step explanation:

Given : A different species of cockroach has weights that are approximately Normally distributed with a mean of 50 grams. After measuring the weights of many of these cockroaches, a lab assistant reports that 14% of the cockroaches weigh more than 55 grams.

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