X= 1,-3 If you factor equation you get x-1=0 and x+3=0
Answer: AB=√17, AD=√98,6
Step-by-step explanation:
AB²=BC²+AC²-2*BC*AC*cosACB
AB²=5²+4²-2*5*4*0,6=25+16-24=17
AB=√17
AD²=AC²+CD²-2*AC*CD*cosACD
cosACD=cos(180°-ACB)=-cosACB
AD²=4²+7²-2*4*7*(-0,6)=16+49+33,6=98,6
AD=√98,6
(x+6)^(1/2)-5=x+1
(x+6)^(1/2)=x+6
((x+6)^(1/2))^2=(x+6)^2
x+6=x^2+12x+36
0=x^2+11x+30
(-11+(11^2-4(1)(30))^(1/2))/2
(-11+((1)^(1/2))/2
(-11+1)/2=-5
(-11-1)/2=-6
((-6)+6)^1/2-5=(-6)+1
(0^(1/2))-5=-5
-6 is non-extraneous
((-5)+6)^1/2-5=(-5)+1
(1^1/2)-5=-4
1-5=-4
-4=-4
-5 is non-extraneous
1 and 1/6 is the correct answer because 4/1 multiplied by 1/3 is 4/3. 4/3 multiplied by 7/8 is 28/24 or 1 and 4/24, which can be simplified down to 1 and 1/6.
