Question

Doy 60 puntos pls ayuden es para hoy

Answer 1

Respuesta:

Listo

Explicación paso a paso:

a) x² + 11 = 47

x² = 47 – 11

x² = 36

x = √36

x = 6

b) x³ – 102 = 410

x³ = 410 + 102

x³ = 512

x = ³√512

x = 8

c) √x – 25 = –7

√x = –7 + 25

√x = 18

x = 18²

x = 324

d)

$\sqrt{x - 14} = 9$

$x - 14 = {9}^{2}$

$x - 14 = 81$

$x = 81 + 14$

$x = 95$

e) x² ÷ 27 = 3

x² = 3 × 27

x² = 81

x = √81

x = 9

f) 7x² = 112

x² = 112/7

x² = 16

x = √16

x = 4

g)

$\sqrt{9x} \div ( - 4) = - 3$

$\sqrt{9x} = - 3 \times ( - 4)$

$\sqrt{9x} = 12$

$\sqrt{9} \times \sqrt{x} = 12$

$3 \times \sqrt{x} = 12$

$\sqrt{x} = \frac{12}{3}$

$\sqrt{x} = 4$

$x = {4}^{2}$

$x = 16$

h) x² ÷ 25 + 9 = 13

x² ÷ 25 = 13 – 9

x² ÷ 25 = 4

x² = 4 × 25

x² = 100

x = √100

x = 10

i) (x – 9)³ ÷ 24 = 9

(x – 9)³ = 9 × 24

(x – 9)³ = 216

x – 9 = ³√216

x – 9 = 6

x = 6 + 9

x = 15

j)

$\sqrt[3]{19x + 153} = 7$

$19x + 153 = {7}^{3}$

$19x + 153 = 343$

$19x = 343 - 153$

$19x = 190$

$x = \frac{190}{19}$

$x = 10$

k) ³√24x – 3 = 3

³√24x = 3 + 3

³√24x = 6

24x = 6³

24x = 216

x = 216/24

x = 9

l) ⁵√32x = 6² ÷ 3²

⁵√32x = 36 ÷ 9

⁵√32x = 4

32x = 4⁵

32x = 1024

x = 1024/32

x = 32

m) √169 – x² = –51

13 – x² = –51

13 + 51 = x²

64 = x²

√64 = x

8 = x

n)

$4 \times \sqrt{x + 8} = 64$

$\sqrt{x + 8} = \frac{64}{4}$

$\sqrt{x + 8} = 16$

$x + 8 = {16}^{2}$

$x + 8 = 256$

$x = 256 - 8$

$x = 248$

ñ)

$\sqrt[4]{2x + 5} = 3$

$2x + 5 = {3}^{4}$

$2x + 5 = 81$

$2x = 81 - 5$

$2x = 76$

$x = \frac{76}{2}$

$x = 38$