x
2
+
y
2
=
16
...
...
...
...
...
...
.
.
(
1
)
x + y = 4 (2)
rearrange (2) to y = 4 - x (could do x = 4 - y )
substitute y = 4 - x into (1)
hence:
x
2
+
(
4
−
x
)
2
=
16
⇒
x
2
+
16
−
8
x
+
x
2
=
16
and
2
x
2
−
8
x
+
16
−
16
=
0
⇒
2
x
2
−
8
x
=
0
factor and solve : 2x(x - 4 ) = 0
⇒
x
=
0
,
x
=
4
substitute these values into y = 4 - x , to find corresponding values of y.
x = 0 : y = 4 - 0 = 4 → (0 , 4)
x = 4 : y = 4 - 4 = 0 → (4 , 0 )
These are the points of intersection with the line x +y = 4 and the circle
x
2
+
y
2
=
16
Answer link
Объяснение:
begin
writeln('1: ',(sqrt(10)+1)/(6.25-1.8*1.8));
writeln('2: ',sin(5)/cos(5)*10*sqrt(19));
writeln('3: ',100*sin(4));
writeln('4: ',sin(cos(1))/0.25);
writeln('5: ',exp(sin(3))*ln(2));
writeln('6: ',sqrt(sqrt(5)+sqrt(6)));
writeln('7: ',(sqrt(3)+2*sqrt(2))/sqrt(sqrt(5)));
writeln('8: ',(exp(sin(3))*ln(2)+exp(sin(2))*ln(2))/(exp(2.4)*ln(4)+1));
end.
Результат:
1: 1.38281649839481
2: -147.353232893516
3: -75.6802495307928
4: 2.0575810340942
5: 0.798202533367663
6: 2.16461491269994
7: 3.04977540329462
8: 0.0980510445730408
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