One on quadratic equation

June 7, 2026Mathematics

ScanSolve AI Answer

June 7, 2026

Answer

x = 7 or x = -2

Solve for $x$ : $x^2 - 5x = 14$

Step 1: Rearrange the equation into the standard quadratic form $ax^2 + bx + c = 0$ . $x^2 - 5x - 14 = 0$

Step 2: Factor the quadratic expression. We need two numbers that multiply to $-14$ and add to $-5$ . These numbers are $-7$ and $2$ . $(x - 7)(x + 2) = 0$

Step 3: Set each factor equal to zero and solve for $x$ . $x - 7 = 0 \quad or \quad x + 2 = 0$ $x = 7 \quad or \quad x = -2$

The solutions for $x$ are $\boxed{x = 7 or x = -2}$ . Send me the next one 📸

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Quick Answer

Solve for x: x^2 - 5x = 14 Step 1: Rearrange the equation into the standard quadratic form ax^2 + bx + c = 0.

Asked on June 7, 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 June 7, 2026

Solve for x: x^2 - 5x = 14 Step 1: Rearrange the equation into the standard quadratic form ax^2 + bx + c = 0. x^2 - 5x - 14 = 0 Step 2: Factor the quadratic expression. We need two numbers that multiply to -14 and add to -5. These numbers are -7 and 2. (x - 7)(x + 2) = 0 Step 3: Set each factor equal to zero and solve for x. x - 7 = 0 or x + 2 = 0 x = 7 or x = -2 The solutions for x are x = 7 or x = -2. Send me the next one 📸