Question

solve the following quadratic equation by factorization method

3x²+10=11x​

Answer 1

Step-by-step explanation:

$\\ \tt{:}\twoheadrightarrow 3 {x}^{2} + 10 = 11x \\ \\ \tt{:}\twoheadrightarrow {3x}^{2} - 11x + 10 = 0 \\ \\ \tt{:}\twoheadrightarrow {3x}^{2} - 6x - 5x + 10 = 0 \\ \\ \tt{:}\twoheadrightarrow 3x(x - 2) - 5(x - 2) = 0 \\ \\ \tt{:}\twoheadrightarrow (x - 2)(3x - 5) = 0 \\ \\ \tt{:}\twoheadrightarrow (x - 2) = 0 \:or \: (3x - 5) = 0 \\ \\ \tt{:}\twoheadrightarrow x = 2 \:or \: x = \frac{5}{3}$