Evaluate the expression: x + x2 - 56

March 16, 2026Mathematics

ScanSolve AI Answer

March 16, 2026

Answer

x=3,\ 4

Step 1: Factor the quadratic equation.

$x^2 - 7x + 12 = 0$

Find two numbers that multiply to 12 and add to -7: -3 and -4.

$x^2 - 7x + 12 = (x - 3)(x - 4) = 0$

Step 2: Set each factor equal to zero.

$x - 3 = 0 \quad \Rightarrow \quad x = 3$

$x - 4 = 0 \quad \Rightarrow \quad x = 4$

The roots are $x = 3$ and $x = 4$ .

x=3,\ 4

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Quick Answer

x^2 - 7x + 12 = 0 Find two numbers that multiply to 12 and add to -7: -3 and -4.
x^2 - 7x + 12 = (x - 3)(x - 4) = 0 Step 2: Set each factor equal to zero.
x - 3 = 0 x = 3 x - 4 = 0 x = 4 The roots are x = 3 and x = 4.

Asked on March 16, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on March 16, 2026

Step 1: Factor the quadratic equation. x^2 - 7x + 12 = 0 Find two numbers that multiply to 12 and add to -7: -3 and -4. x^2 - 7x + 12 = (x - 3)(x - 4) = 0 Step 2: Set each factor equal to zero. x - 3 = 0 x = 3 x - 4 = 0 x = 4 The roots are x = 3 and x = 4. x=3,\ 4