Х+6-2х^2=0 решите уравнение

tulenchik26 tulenchik26    2   16.03.2022 10:45    0

Ответы
greenlyte09 greenlyte09  19.03.2022 12:40

x1 = -3/2

x2 = 2

.

if:

ax² + bx + x = 0

x + 6 - 2x² = 0

from that expresion, you get

a = -2b = 1c = 6

Put Given data to quadratical formula:

\\ \bf x = \frac{-b± \sqrt{ {b}^{2} - 4ac } }{2a} \\

\\ \bf x = \frac{ - 1± \sqrt{ {1}^{2} - 4(2) (6)} }{2(-2)} \\

\\ \bf x = \frac{ - 1± \sqrt{1 -(-48) } }{ - 4} \\

\\ \bf x = \frac{ - 1± \sqrt{49} }{ - 4}  \\

\bf x_{1} = \frac{ - 1 + 7}{-4} \\ \\\bf x_{1} = \frac{6}{-4} =\boxed{\bf - \frac{3}{2} } \\ \\

\bf x_{2} = \frac{ - 1 - 7}{-4} \\ \\ \bf x_{2} = \frac{ - 8}{-4} = \boxed{\bf 2} \\ \\

or

{x1, x2} = {-3/2 , 2}

-eꞰαl

.

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