(X-5)^2=3x^2-x+14 дискриминант

Question

(X-5)^2=3x^2-x+14 дискриминант

Answer 1

(x-5)²=3x²-x+14
x²-10x+25=3x²-x+14
x²-3x²-10x+x+25-14=0
-2x²-9x+11=0
2x²+9x-11=0
D=9²-4*2*(-11)=81+88=169
√D=√169=13
x₁=-9+13/2*2=1
x₂=-9-13/2*2=-5,5