Math Problem Statement

Evaluate the expression:

x² - 3y + 12 if x = -2 and y = 5

Solution

To evaluate the expression x2−3y+12x^2 - 3y + 12 when x=−2x = -2 and y=5y = 5, follow these steps:

  1. Substitute x=−2x = -2 and y=5y = 5 into the expression: (−2)2−3(5)+12(-2)^2 - 3(5) + 12

  2. Calculate (−2)2(-2)^2: (−2)×(−2)=4(-2) \times (-2) = 4

  3. Multiply 3×53 \times 5: 3×5=153 \times 5 = 15

  4. Substitute these values into the expression: 4−15+124 - 15 + 12

  5. Simplify

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Math Problem Analysis

Mathematical Concepts

Algebra
Quadratic Equations

Formulas

Quadratic equation formula ax^2 + bx + c = 0

Theorems

Quadratic formula

Suitable Grade Level

Grades 7-9

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