Question

Resolva a equacao usando a forma de baskara (x-7). (X-3)+10x=30

Answer 1

(x-7). (X-3)+10x=30
X²-3x-7x+21+10x=30
X²-10x+10x=30-21
X²=9
X²-9=0
A=1. B=0. C=-9

Δ=b²-4ac
Δ=0²-4.1.(-9)
Δ=0 + 36
Δ=36

X=-b±√Δ/2a
X=-0±√36/2.1
X=0±6/2
X'=0+6/2=6/2=3
X"=0-6/2=-6/2=-3

Answer 2

$(x-7) * (x - 3 ) + 10x = 30\\ (x^2 - 3x -7x + 21) + 10x - 30 = 0\\ x^2 - 9 = 0\\\\ \frac{b_-^+ \sqrt{b^2-4ac} }{2a}\\ \frac{(0)_-^+ \sqrt{(0)^2-4*(1)*(-9)} }{2*(1)} \\ \frac{_-^+ \sqrt{36} }{2}\\\\ x' = \frac{6}{2} = 3\\ x'' = \frac{-6}{2} = -3$