algebra · worked example

Solve x² - 7x + 12 = 0 — x = 3 or x = 4

Method: pemfaktoran. Verified step-by-step solution with our free AI math solver.
Problem

x27x+12=0x^2 - 7x + 12 = 0

Step-by-step solution

  1. Cari dua bilangan yang hasil kalinya 1212 dan jumlahnya 7-7.

  2. Keduanya harus negatif (hasil kali positif, jumlah negatif): 3-3 dan 4-4 cocok karena (3)(4)=12(-3)(-4) = 12 dan 3+(4)=7-3 + (-4) = -7.

  3. Faktorkan: (x3)(x4)=0(x - 3)(x - 4) = 0.

  4. Setarakan setiap faktor dengan nol: x=3x = 3 atau x=4x = 4.

Answer

x=3orx=4x = 3 \quad \text{or} \quad x = 4

Want to solve a different problem? Open the quadratic solver →