Mathematics, 16.02.2021 17:10 ash011519

What is the positive value of “x”?
x(x+5)=387
Hint: Use the quadratic formula

Answers: 1

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Answer from: shawn4544

$\displaystyle x=\frac{-5+11\sqrt{13}}{2}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Distributive Property

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

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

Step-by-step explanation:

Step 1: Define

x(x + 5) = 387

Step 2: Identify Variables

Rewrite

[Distributive Property] Distribute x: x² + 5x = 387[Subtraction Property of Equality] Subtract 387 on both sides: x² + 5x - 387 = 0Part: a = 1, b = 5, c = -387

Step 3: Solve for x

Substitute in variables [Quadratic Formula]: $\displaystyle x=\frac{-5\pm\sqrt{5^2-4(1)(-387)}}{2(1)}$ [√Radical] Evaluate exponents: $\displaystyle x=\frac{-5\pm\sqrt{25-4(1)(-387)}}{2(1)}$ [√Radical] Multiply: $\displaystyle x=\frac{-5\pm\sqrt{25+1548}}{2(1)}$ [√Radical] Add: $\displaystyle x=\frac{-5\pm\sqrt{1573}}{2(1)}$ [Fraction - Denominator] Multiply: $\displaystyle x=\frac{-5\pm\sqrt{1573}}{2}$ [Fraction - √Radical] Simplify: $\displaystyle x=\frac{-5\pm 11\sqrt{13}}{2}$

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Answer from: Quest

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What is the positive value of “x”?
x(x+5)=387
Hint: Use the quadratic formula...

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