Question

1) 17x² - 4x - 13 = 0; ​

Answer 1

Ответ:

$\displaystyle -\frac{13}{17};\ 1$

Объяснение:

$\displaystyle 17 x^{2} - 4x - 13 =0\\\\ a=17 ,\ \ b=-4 ,\ \ c=-13\\\\ D = b^2 - 4ac = ( - 4)^2 - 4\cdot17\cdot( - 13) = 16 + 884 = 900\\\\\sqrt{D} =\sqrt{900} = 30\\\\ x_1=\frac{-b-\sqrt{D}}{2a}=\frac{4-30}{2\cdot17}=\frac{-26 }{34 }=-\frac{13}{17}\\\\ x_2=\frac{-b+\sqrt{D}}{2a}=\frac{4+30}{2\cdot17}=\frac{34}{34}=1$

Answer 2

Ответ:

-13/17; 1

Объяснение:

17х² - 4х - 13 = 0

а = 17; в = -4; с = -13

Д = в² - 4ас

Д = (-4)² - 4 * 17 * (-13) = 16 + 884 = 900

√Д = √900 = 30

х1 = (-в - √Д)/(2а)

х1 = (4 - 30)/(2*17) = -26/34 = -13/17

х2 = (-в + √Д)/(2а)

х2 = (4 + 30)/(2*17) = 34/34 = 1