Question

-x² = -7x + 10 Como resolve ? por meio de duas raízes dadas

Answer 1

-x²=-7x+10
-x²+7x-10=0.(-1)
x²-7x+10=0
a=1
b=-7
c=10
√Δ=b²-4.a.c⇒√Δ-7²-4.1.10⇒√Δ=49-40⇒√Δ=9⇒Δ=3
x´=-b+Δ/2.a⇒x´=7+3/2.1⇒x´=10/2⇒x´=5
x´´=-b-Δ/2.a⇒x´´=7-3/2.1⇒x´´=4/2⇒x´´=2 
S=(x´;y´) (x´´;y´´)⇒x²-7x+10⇒-5²-7.(-5)+10⇒25+35+10⇒y´=70
S=(-5;70) (-2;28)⇒x²-7x+10⇒-2²-7.(-2)+10⇒4+14+10⇒y´´=28