Question

Resolva as equações
A)x²-4x+3=0. b) x²+x-20=0. c) 15x²+2x-13=0. D) 2x²+5x+3=0. e)x²-2x-2x-12=0. f) 2x²-x+6=4x+4. g) x²-2x-1x+2-6=0. H) 2x²-16x-3x+24-34=0 respondem pra mim por favor

Answer 1

a)x^2-4x-3=0 / (x-3)(x-1)=0 x-3=0 ; x-1=0 / x=3 ; x=1 b)x^2+x-20=0 / (x+5)(x-4)=0. x+5=0 ; x-4=0 / x=-5 ; x=4. c)15x^2+2x-13=0 / a=15,b=2,c=13 X=-b-,+\|b^2-4(a)(c)/2a. X=-2-,+\|2^2-4(15)(13)/2(15) X=-2-,+\|4-60(-13)/30. X=-2-,+\|4+780/30. X=-2-,+\|784/30 》X=-2-,+28/30. X1=-2+28/30》X1=26/30 agora simplifica fica X1=13/15. X2=-2-28/30》X2=-30/30》X2=-1. d)2x^2+5x+3=0》a=2,b=5,c=3. X=-b-,+\|b^2-4ac/2a》 X=-5-,+\|(-5)^2-4(2)(3)/2(2)》 X=-5-,+\|25-8(3)/4》 X=-5-,+\|25-24/4》X=-5-,+\|1/4》 X=-5-,+1/4. X1=-5+1/4》X1=-4/4》X1=-1 X2=-5+1/4 》X2=-6/4 agora simplifica fica X2=-3/2. e)x^2-2x-12=0》a=1,b=2,c=12》 X=-b\|b^2-4ac/2a》 X=-(-2)-,+\|(-2)^2 -4(1)(-12)/2(1)》 X=2-,+\|4-4(-12)/2》X=2-,+\|4+48/2》X=2-,+\|52/2》X=2-,+7,21/2》 X1=2+7,21/2》X1=9,21/2》X1=4,605》X1=4,61. X2=2-7,21/2》X2=-5,21/2》X2=2,605》X2=2,61. g)x^2-2x-1x+2-6=0》(x-4)(x+1)=0 x-4=0 , x+1=0》x=4 , x=-1. h)2x^2-16x-3x+ 24-34=0》 2x^2-19x-10=0》a=2,b=19,c=10. X=-b-,+\|b^2-4ac/2a》 X=-(-19)-,+\|(-19)^2-4(2)(-10)/2(2) X=19-,+\|361-8(-10)/4》 X=19-,+\/361+80/4》X=19-,+\/441/4》X=19-,+21/4. X1=19+21/4》X1=40/4》X1=10 X2=19-21/4》X2=-2/4》X2=-1/2