Y = value range of (x ^ 2-6x + 13) + root (x ^ 2 + 4x + 5)

Y = value range of (x ^ 2-6x + 13) + root (x ^ 2 + 4x + 5)

Y = ((x-3) & sup2; + Z & sup2;) + under the root ((x + 2) & sup2; + 1) denotes the maximum and minimum of the sum of the distances from point (x, 0) to point (3.2) and point (x, 0) to point (- 2,1), that is, the sum of the distances from any point on the X axis to point (3.2) and point (- 2,1)

Y = x ^ 2-6x + 8 under the root sign + x ^ 2 + 4x + 8 under the root sign, find the range of the function
Y = under root sign (x ^ 2-6x + 8) + under root sign (x ^ 2 + 4x + 8)

Want to know if you can confirm that the first half is:
Under the root sign (x ^ 2-6x + 8)

If 2 / x = 3 / y, then the fraction 7x & sup2; - Y & sup2; X & sup2; - 2XY + 3Y & sup2;

x/2=y/3
y=(3/2)x
So y & sup2; = (9 / 4) x & sup2;
xy=(3/2)x²
The original formula = [x & sup2; - 3x & sup2; + (27 / 4) x & sup2;] / [7x & sup2; - (3 / 2) x & sup2;]
=(1-3+27/4)/(7-3/2)
=19/22

Fractional multiplication and division: given x-3y = 0, find the value of 2x + Y / X & sup2; - 2XY + Y & sup2; × (X-Y)

x-3y=0
x=3y
2x+y/x^2-2xy+y^2×(x-y)
=(2x+y)/(x-y)^2*(x-y)
=(2x+y)/(x-y)
=(6y+y)/(3y-y)
=7y/2y
=7/2

How to solve the equation 4x + 27 = 5x-98

4X+27=5X-98
5X-4X=98+27
X=125
Checking calculation: 4 × 125 + 27 = 5 × 125-98
500+27=625-98
527=527

Factorization factor 2x ^ 2-x-12.2x62-5x + 33.6x ^ 2-13x + 6
Three questions (1) 2x ^ 2-x-1 (2) 2x62-5x + 3 (3) 6x ^ 2-13x + 6

(1)
2x^2-x-1=(2x+1)(x-1)
(2)
2x^2-5x+3=(2x-3)(x-1)
(3)
6x^2-13x+6=(2x-3)(3x-2)

Solution: 3 (9.7 + 2x) = 2 (5.5 + 5x) 29.1 + 6x = 11 + 10x 4x = 18.1 x = 4.525 change the above answer into a recursive equation like 10-x = 5
Solution: 3 (9.7 + 2x) = 2 (5.5 + 5x) 29.1 + 6x = 11 + 10x 4x = 18.1 x = 4.525
Turn the above answer into a recursive equation
Like 10-x = 5
x=10-5
x=5

3（9.7+2X）=2（5.5+5X）
29.1+6x=11+10x
6x-10x=11-29.1
-4x=-18.1
x=4.525

5x + 5 = - 6x solve the equation and write the process

The solution is - 5 / 11. That's five out of eleven
11x = - 5
X=-5/11

1 / 6x = 1 / 5x-2 find x

1/6x=1/5x-2
1/6x-1/5x=-2
x(1/6-1/5)=-2
x(5/30-6/30)=-2
x(-1/30)=-2
x=-2/(-1/30)
x=60

2.5x+1=6x-13

2.5x+1=6x-13
1+13＝6x-2.5x
14=3.5x
3.5x=14
x=4