Group terms that contain the same variable, and move the constant to the opposite side of the equation
(–2x²+ 2x)=-3
Factor the leading coefficient
-2*(x²-x)=-3
Complete the square. Remember to balance the equation by adding the same constants to each side
-2*(x²-x+0.25)=-3-0.50
Rewrite as perfect squares
-2*(x-0.5)²=-3.50
(x-0.5)²=-3.50/-2
(x-0.5)²=1.75------> square root both sides
(+/-)(x-0.5)=√7/2
(+)(x-0.5)=√7/2----> (√7/2)+0.5----> x=1.823
(-)(x-0.5)=√5/2-----> x=0.5-(√7/2)----> x=-0.823
the solutions are
x=1.823
x=-0.823
Answer:
-1/2, 1/4, 1/2
Step-by-step explanation:
5 5/6+1 1/4+1 1/4, or 8 1/3 miles
8. adjacent 9. vertical 10. adjacent
LHS=(1-sin60)/cos60
=(1-√3÷2)/1÷2
=2(1-√3÷2)
=2-√3
RHS=(1-tan30)/(1+tan30)
={1-(1÷√3)}/{1+(1÷√3)}
={(√3-1)/√3}/{(√3+1)/√3}
=(√3-1)/(√3+1)
={(√3-1)(√3-1)}/{(√3+1)(√3-1)}
=(3-√3-√3+1)/(3-1)
=(4-2√3)/2
Therefore LHS=RHS
