Решите уравнение: x^2+3x-10=0. Created by catapulta. algebra-ru

Решите уравнение: x^2+3x-10=0...

August 2022 2 0 Report

Решите уравнение: x^2+3x-10=0

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Решение:
х²+3х-10=0
х1,2=-3/2+-√(9/4+10)=-3/2+-√(9/4+40/4)=-3/2+-√49/4==3/2+-7/2
х1=-3/2+7/2=4/2=2
х2=-3/2-7/2=-10/2=-5

Ответ: х1=2; х2=-5

2 votes Thanks 4

GreatFilter D=b²-4ac
$x= \frac{-b-+ \sqrt{D} }{2a}$

x²+3x-10=0
D=3²-4*(-10)*1=9+40=49=7²
$x_{1}= \frac{-3- \sqrt{49} }{2*1}= \frac{-3-7}{2} = \frac{-10}{2} =-5 \\ x_{2}= \frac{-3+ \sqrt{49} }{2*1}= \frac{-3+7}{2} = \frac{4}{2} =2$

2 votes Thanks 10

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