Question

rezolvati in numere reale ecuatia x(x-3)-5(2-x)=5(2-x)-27 va rog repedeee am nevoie urgent !!!!!!!!!!!!

Answer 1

$x(x - 3) - 5(2 - x) = 5(2 - x) - 27$

${x}^{2} - 3x - 10 + 5x = 10 - 5x - 27$

${x}^{2} - 3x + 5x + 5x - 10 - 10 + 27 = 0$

${x}^{2} + 7x + 7 = 0$

$a = 1$

$b = 7$

$c = 7$

$\Delta = {b}^{2} - 4ac$

$\Delta = {7}^{2} - 4 \times 1 \times 7$

$\Delta = 49 - 28$

$\Delta = 21$

$x_{1,2}=\frac{-b\pm\sqrt{\Delta}}{2a}$

$x_{1,2}=\frac{-7\pm\sqrt{21}}{2 \times 21}$

$x_{1,2}=\frac{-7\pm\sqrt{21}}{42}$

$x_{1}=\frac{-7 + \sqrt{21}}{42}$

$x_{2}=\frac{-7 - \sqrt{21}}{42}$