Question

Resolva as equações, considerando U = R

x²- 49 = 0

2x² - 32 = 0

4m² - 25 = 0

16x² = 9

9x² = 25 + 8x²

p² + 10 = 0

Answer 1

a)

${x}^{2} - 49 = 0 \\ {x}^{2} = 49 \\ x = ± \sqrt{49} \\ x = ±7$

b)

$2 {x}^{2} - 32 = 0 \\ 2{x}^{2} = 32 \\ {x}^{2} = \frac{32}{2} \\ {x}^{2} = 16$

$x = ± \sqrt{16} = ±4$

c)

$4 {m}^{2} - 25 = 0 \\ 4 {m}^{2} = 25 \\ {m}^{2} = \frac{25}{4}$

$m = ± \sqrt{ \frac{25}{4} } = ± \frac{5}{2}$

d)

$16 {x}^{2} = 9 \\ {x}^{2} = \frac{9}{16} \\ x = ± \sqrt{ \frac{9}{16} } = ± \frac{3}{4}$

e)

$9 {x}^{2} = 25 + 8 {x}^{2} \\ 9 {x}^{2} - 8 {x}^{2} = 25 \\ {x}^{2} = 25 \\ x = ± \sqrt{25} = ±5$

f)

${p}^{2} + 10 = 0 \\ {p}^{2} = - 10$

S=∅