Question

rezolvati in R ecuatia si determinati ce tip de numere rationale sau irationale,sint solutiile ei
x2-3x-10=0
2x2+7x-8=0
-x2+10x+2=0

Answer 1

x²-3x-10=0
Δ=(-3)²-4(-10)
Δ=9+40
Δ=49 =>√Δ=7
x₁=(3-7)/2=(-2)
x₂=(3+7)/2=5 , solutii reale

2x²+7x-8=0
Δ=7²-4·2(-8)
Δ=49+64
Δ=113 =>√Δ=√113
x₁=(-7-√113)/4
x₂=(-7+√113)/4

-x²+10x+2=0
Δ=10²-4(-1)·2
Δ=100+8
Δ=108 =>√Δ=6√3
x₁=(-10-6√3)/(-2)=5+3√3
x₂=(-10+6√3)/(-2)=5-3√3