A rectangle with sides 11 cm and 9 cm has the same diagonal as a square.
1 answer:
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Answer:
The length of BE is 5 units.
Step-by-step explanation:
ABCD is rectangle
AC is a diagonal and BD is a diagonal too.
Diagonals of rectangle are equal and bisect each other perpendicularly.
So, AE = BE
AE = 1/2 × AC
= 1/2 × 10
= 5
BE = 5
Hence the length of BE is 5 units.
Sum of 2 perfect cubes
a³+b³=(a+b)(x²-xy+y²)
so
x³+4³=(x+4)(x²-4x+16)
set each to zero
x+4=0
x=-4
the other one can't be solveed using conventional means
use quadratic formula
for
ax^2+bx+c=0
x=
for x²-4x+16=0
x=
x=
x=
x=
x=
x=
the roots are
x=-4 and 2+2i√3 and 2-2i√3
a³+b³=(a+b)(x²-xy+y²)
so
x³+4³=(x+4)(x²-4x+16)
set each to zero
x+4=0
x=-4
the other one can't be solveed using conventional means
use quadratic formula
for
ax^2+bx+c=0
x=
for x²-4x+16=0
x=
x=
x=
x=
x=
x=
the roots are
x=-4 and 2+2i√3 and 2-2i√3