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Problem solve x² − 5x + 6 = 0
Answer x = 2   x = 3
1
x² − 5x + 6 = (x−2)(x−3)
Find two numbers that multiply to 6 and add to −5.
2
x−2=0  or  x−3=0
Zero product property: one factor must equal zero.
3
x = 2  or  x = 3
Solve each equation and verify in the original.
✦ Max — AI Explanation
The quadratic factors neatly because −2 and −3 multiply to +6 and add to −5. The zero product property gives both roots. Substitute each back to verify.
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Problem solve x² − 5x + 6 = 0
Answer x = 2    x = 3
Step-by-step solution
1
x² − 5x + 6 = (x − 2)(x − 3)
Find two numbers that multiply to 6 and add to −5. Those numbers are −2 and −3, so the expression factors cleanly.
2
x − 2 = 0   or   x − 3 = 0
Apply the zero product property. If a product equals zero, at least one factor must be zero.
3
x = 2   or   x = 3
Solve each equation independently. Both roots satisfy the original quadratic equation.
✦ Unlock full explanation
✦ Max — AI Math Tutor
The quadratic factors neatly because −2 and −3 multiply to +6 and add to −5. Once written as a product of two factors, the zero product property guarantees that one must equal zero. That gives the two roots, x = 2 and x = 3.
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Symbolicx^2 - 5x + 6 = 0→x = 2, 3
Englishsolve x squared minus 5x plus 6→x = 2, 3
Dutchlos op x^2 - 5x + 6 = 0→x = 2, 3
Germanlöse x^2 - 5x + 6 = 0→x = 2, 3
Calculusderivative of x^3→3x²
Loosesqrt(81)→9
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MathQuify solves algebra, linear and quadratic equations, fractions, percentages, exponents, roots, calculus, trigonometry, linear algebra, statistics, and probability — with exact step-by-step solutions.
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