Answer:
Let the tens digit of the required number be x and the units digit be y. Then,
x+y=12 .........(1)
Required Number = (10x+y).
Number obtained on reversing the digits = (10y+x).
Therefore,
(10y+x)−(10x+y)=18
9y−9x=18
y−x=2 ..........(2)
On adding (1) and (2), we get,
2y=14⟹y=7
Therefore,
x=5
Hence, the required number is 57.
Step-by-step explanation:
Hope it is helpful...
Answer:
The Square Root of 5
Step-by-step explanation:
If side a = 1
and side b = 2
According to Pythagorean Theorem, a^2+b^2=c^2, the answer would be:
1^2+2^2=c^2
1+4=c^2
5=c^2
c=the square root of 5
Take the complex zero 1+i. There must be another zero 1-i to balance it, so we have the factors (x-1-i)(x-1+i)=x²-2x+1+1=x²-2x+2.
So the polynomial is (x+3)(x²-2x+2)=x³-2x²+2x+3x²-6x+6=x³+x²-4x+6, option D.
Explain
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Step by step solutions
Answer:
2x4 - 50
STEP
2
:
STEP
3
:
Pulling out like terms
3.1 Pull out like factors :
2x4 - 50 = 2 • (x4 - 25)
Trying to factor as a Difference of Squares:
3.2 Factoring: x4 - 25
Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)
Proof : (A+B) • (A-B) =
A2 - AB + BA - B2 =
A2 - AB + AB - B2 =
A2 - B2
Note : AB = BA is the commutative property of multiplication.
Note : - AB + AB equals zero and is therefore eliminated from the expression.
Check : 25 is the square of 5
Check : x4 is the square of x2
Factorization is : (x2 + 5) • (x2 - 5)