A.) 2√ x + 4 = x + 1
B.) 15X - 8 = 3X +2 - (X +5)
C.) 2X + 1 / 5 - X - 2 / 4 = X + 9 _/ 2
D.) (X + 5)² + 3X = (X + 3)(2X - 1)
E.) X² -25 =0
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
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Answers & Comments
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