Solve the Quadratic Equation Using the Quadratic Formula (If Necessary $x ^ { 2 } - x + 3 = 0$

question 29

Multiple Choice

Solve the quadratic equation using the quadratic formula (if necessary, round the result to three significant digits) . $x ^ { 2 } - x + 3 = 0$

• A) \(x = 0.5 + 1.58 j , \quad x = 1 - 1.58 j\)
• B) \(x = 0.5 + 1.58 j , \quad x = 0.5 - 1.58 j\)
• C) \(x = 0.5 + 1.66 j , \quad x = 0.5 - 1.66 j\)
• D) \(x = 5 + 1.58 j , \quad x = 5 - 1.58 j\)
• E) \(x = 0.1 + 1.58 j , \quad x = 1 - 1.58 j\)

---

Definitions:

Expand

To expand an algebraic expression means to simplify the expression by distributing multiplication over addition or subtraction and combining like terms.

Binomial Theorem

A principle in algebra that describes the algebraic expansion of powers of a binomial.

Expand

To express a mathematical expression in an extended form by removing parentheses or factoring, usually by applying the distributive property.

Binomial Theorem

A formula for expressing the powers of sums, which identifies the expansion of a binomial raised to any positive integer power.