Factorization: 25X ^ 2 - 160x + 192 = 0

Factorization: 25X ^ 2 - 160x + 192 = 0


25x^2 - 160x +192=0
25x^2 - 160x+256 +192-256=0
(5X-16)^2-64=0
(5X-16)^2=64
5X-16=±8
X1= 4.8 X2=1.6



Factorization: 25X ^ 2 - (x-4y) ^ 2


25x^2-(x-4y)^2=(5x+x-4y)(5x-x+4y)=8(3x-2y)(x+y)



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It is known that the reciprocal of M is 3, and the reciprocal of n is 1 and two-thirds


The reciprocal of M is 3, M = 1 / 3
The reciprocal of n is one and two-thirds, n = 3 / 5
So Mn = 1 / 3 * 3 / 5 = 1 / 5



One quarter said 0.8 plus one half divided by three quarters minus 0.8. The reward is the highest, first come first served
One quarter is called 0.8 plus one half divided by three quarters minus 0.8 (three quarters + three eighths) divided by (eight fifths minus 0.45)
The highest reward is offered on a first come first served basis


1/4x0/8+(1/2)/(3/4)-0.8=0.2+(2/3)-0/8=(2/3)-0.6
[(3/4)+(3/8)]/[(8/15)-0.45)]=(9/8)/[(8/15)-(9/20)]=(9/8)/(5/60)=(9/8)x12=27/2



The moving circle is inscribed with the fixed circle x * x + y * y + 4y-32 = 0 and passes through the fixed point a (0,2). The trajectory equation of the center P of the moving circle is obtained


Fixed circle O
, inscribed OP = fixed circle radius 6-moving circle radius OA
OA+OP=6
The locus of the moving circle center P is an ellipse with O and a as the focus



Mathematical equation 1 / 7 bracket 1 / 5 (x + 2 / 3 + 4) + 6 bracket back + 8 = 9
1 / 7 bracket 1 / 5 (x + 2 / 3 + 4) + 6 bracket back + 8 = 9
x=?
Good people to help, to the process
1 / 5 bracket 1 / 4 (1 / 2x + 1) - 3 / 4 bracket = 0
3 / 2 bracket 2 / 3 (x / 4-1) - 2 bracket back - x = 2


1/7[1/5(x+2/3+4)+6]+8=9
1/7[1/5(x+2/3+4)+6]=1
1/5(x+2/3+4)+6=7
1/5(x+2/3+4)=1
x+2/3+4=5
x+2/3=1
x=1/3
1/5[1/4(1/2x+1)-3/4]=0
1/4(1/2x+1)-3/4=0
1/4(1/2x+1)=3/4
1/2x+1=3
1/2x=2
x=4
3/2[2/3(x/4-1)-2]-x=2
(x/4-1)-3-x=2
x/4-4-x=2
-3/4x=6
x=6*4/(-3)
x=-8



How to calculate 3.5 + 3.5 times 99?


3.5 + 3.5 times 99 = 3.5 (1 + 99) = 3.5 * 100 = 350



197 199 × -- a simple method 198
197 × 197 / 198,
Smart people, I don't know how to do it,
This year, the number of books in the school library has increased by 12% compared with last year,
What is the meaning?
The volume of oxygen in the air is about 20%
Oxygen accounts for 20% of the volume of air


The square of 198-199 × 197
=198X198-(198+1)X197
=198X198-198X197-1X197
=198x(198-197)-197
=198-197
=1



Factorization of a ^ 2x ^ 2-ax-12


a^2x^2-ax-12
=(ax)^2-ax-12
=(ax-4)(ax+3)
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