Verified answer

A.) 2√x + 4 = x+1

2√x = x+1-4

2√x = x-3...../()²

4x = (x-3)²

4x = x²-6x+9

0 = x²-6x-4x+9

x²-10x+9 = 0

(x-9)(x-1) = 0

x-9 = 0 ===> x1= 9

x-1 = 0 ===> x2= 1

B.) 15x-8 = 3x+2 - (x+5)

15x-8 = 3x+2-x-5

15x-3x+x = -5+8

13x = 3..../:13

X= 3/13

C.) 2x + 1/5 - x - 2/4 = x + 9/2...../*20

40x+4-20x-10 = 20x+90

40x-20x-20x = 90-4+10

0 = 96 <== No tiene solución (revisa si anotaste bien el ejercicio)

D.) (x+5)² + 3x = (x+3)(2x-1)

x²+10x+25+3x = 2x²+5x-3

x²+13x+25 = 2x²+5x-3

0 = 2x²-x²+5x-13x-3-25

x²-8x-28 = 0

……-b+√(b²-4ac)

X1= ----------------- ===> Con a= 1....b= -8.....c= -28

………….2a

……-(-8)+√([-8]²- 4*1*-28)

X1= ----------------------------- =

…………........2*1

……8+√(64+112).....8+√176

X1= ------------------ = ----------- =

……..........2......................2

……8+13,266.....21,266

X1= ------------- = ---------- =

…..........2..................2

X1= 10,633

……8-13,266....-5,266

X2= ------------ = --------- =

…..........2.................2

X2= 2,633

E.) x² -25 =0

x² = 25...../√

X1= 5

X2= -5

solo te resuelvo dos

B) x = 5/13

E) x= 5

espero haberte ayudado , las demas son mas tardadas, que estes bien