Solve any maths problem
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Step by step
- r^{2} - 5 r + 6 = 0
Start from the equation as given.
- a = 1,\quad b = -5,\quad c = 6
Read off the coefficients of the standard form ax² + bx + c = 0.
- \left(r - 3\right) \left(r - 2\right) = 0
Factor the quadratic into two linear factors.
- r - 3 = 0 \;\Rightarrow\; r = 3
A product is zero only when one of its factors is zero (zero-product property).
- r - 2 = 0 \;\Rightarrow\; r = 2
A product is zero only when one of its factors is zero (zero-product property).
Reveal the answer
r = 3 \quad\text{or}\quad r = 2