How to solve the equation x-0.25x = 1.5

How to solve the equation x-0.25x = 1.5


x-0.25x=1.5
0.75x=1.5
x=1.5÷0.75
x=2



How to solve x-25x = 2.5


The original formula = - 24x = 2.5, then divide 2.5 by - 24 = - 5 / 48 (5 / 48 of negative 48)



How to solve x + 1.25x = 9?


x+1.25x=9
2.25x=9
x=9/2.25=4



Solve the equation. 25X & # 178; - 10x + 1 = 9
x²+4mx+4m²=n²


25x²-10x+1=9
(5x-1)^2=9
5x-1=± 3
x=(1± 3)/5
x1=4/5 x2=-2/5



Given that the square of (a + b) is 100 and the square of (a-b) is 16, find the sum of the squares of a and B


(a + b) &# 178; = 100 is expanded to: A & # 178; + B & # 178; + 2Ab = 100 (1) (a - b) &# 178; = 16 is expanded to: A & # 178; + B & # 178; - 2Ab = 16 (2) (1) + (2) is expanded to: 2A & # 178; + 2B & # 178; = 116, so a & # 178; + B & # 178; = 58 (1) - (2)



The square of a + AB = - 5, the square of AB + B = 7, find the square of 2A + 3AB + B and the square of a-b


a² + ab = -5 (1)
ab + b² = 7 (2)
(1) Formula × 2 + (2) is as follows:
2a² + 3ab + b² = -3
(1) Formula - (2) is as follows:
a² - b² = 12



Given A-B = 2, ab = 1, find the square of (a + b)


(a-b)²=a²+b²-2ab=4
∴a²+b²=4+2ab=6
∴(a+b)²=a²+b²+2ab=6+2=8
Answer: 8
It's over~~



We know that the positive number a B C satisfies the power a of 2 is equal to the power B of 3 is equal to the power C of 6
·Come on


Find the natural logarithm on both sides of the equation according to the formula
aln2=bln3=cln6
For aln2 = CLN6, both sides multiply B
abln2=bcln6
For bln3 = CLN6, both sides multiply a
abln3=acln6
What is the sum of two formulas
abln2+abln3=acln6+ bcln6
That is abln6 = (AC + BC) ln6
Go and prove it



The third power of a = 1008 * B, where AB is a natural number, find the minimum value of B! Process details, to reason!


1008=2×2×2×2×3×3×7 = 2^4 * 3^2 * 7
To make the power of each factor a multiple of 3:
When B is not 0, the minimum value b = 2 ^ 2 * 3 ^ 1 * 7 ^ 2 = 588
[when 0 is a natural number, B is the minimum of 0]



If we know that 1176 times a = B to the fourth power (A and B are non-zero natural numbers), then the maximum value of a is ()


1176= (2^3)*3*(7^2) =b^4
The smallest B ^ 4 = (2 ^ 4) * (3 ^ 4) * (7 ^ 4)
The smallest a = (smallest B ^ 4) / 1176 = 2 * (3 ^ 3) * (7 ^ 2) = 2646