melwamb
14.07.2019 •
Mathematics
2sin^2 (x) -5 sin (x) -3=0 i. rewrite the equation by substituting the expression u in for sin x. ii. factor the quadratic expression. rewrite the equation with factors instead of the original polynomial. iii. use the zero product property to solve the quadratic equation. iv. rewrite your solutions to part iii by replacing u with sin x. v. solve the remaining equations for x, giving all solutions to the equation.
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Ответ:
we have that
I. Rewrite the equation by substituting the expression u in for sin x.
II. Factor the quadratic expression. Rewrite the equation with factors instead of the original polynomial.
is equal to
using a graph calculator-----> see the attached figure
III. Use the zero product property to solve the quadratic equation.
(u-3)=0--------------> u=3
(2u+1)=0-------- 2u=-1------> u=-1/2-----> u=-0.5
IV. Rewrite your solutions to Part III by replacing u with sin x.
sin x=3--------> is not the solution (sin x can not be greater than 1)
sin x=-0.50------>is the solution
V. Solve the remaining equations for x, giving all solutions to the equation.
sin x=-0.50
if the sine is negative
then
x belong to the III or IV quadrant
we know that
sin 30°=0.50
so
the solution for the III quadrant is
x=180°+30°-------> x=210°
the solution for the IV quadrant is
x=360°-30°------> x=330°
Ответ:
5*5*5*5*5*5*5=78,125
7*7*7*7*7=16,807
5+5+5+5+5+5+5=35
7+7+7+7+7=35
try
5+5+5+5+5+5+5+5+5+5+5+5+5+5+5=75
Step-by-step explanation: