Question

Розв'яжіть рівняння
x^2-5x=0
x(x-8)+15(8-x)=0

Answer 1

1)

${x}^{2} - 5x = 0$

$x \times (x - 5) = 0$

$x = 0 \\ x - 5 = 0$

$x = 0 \\ x = 5$

$x_{1} = 0, x_{2} = 5$

2)

$x(x - 8) + 15(8 - x) = 0$

$x \times (x - 8) + 15 \times ( - (x - 8)) = 0$

$x \times (x - 8) - 15(x - 8) = 0$

$(x - 8) \times (x - 15) = 0$

$x - 8 = 0 \\ x - 15 = 0$

$x = 8 \\ x = 15$

$x_{1} = 8, x_{2} = 15$