Question

a)10x²-40=0 b)x²=4/25 c)100x²-25=0
d)10x²-50=0 e)3x²-3=0 f)5x²-10=0

todas con procedimiento y comprobación

Answer 1

Explicación paso a paso:

a)

10x²-40=0

x²-4=0

(x+2)(x-2)=0

x=-2 y 2

b)

x²-4/25=0

x=-2/5 y 2/5

c)

x²-1/4=0

x=-1/2 y 1/2

d)

x²-5=0

x=-√(5) y √(5)

e)

x²-1=0

x=-1 y 1

f)

x²-2=0

x=-√(2) y √(2)

Answer 2

Respuesta:

A)

$10 {x}^{2} - 40 = 0 \: despejamos \: x \\ {x }^{2} = \frac{40}{10} \\ {x}^{2} = 4hallamos \: la \: raiz \\ \sqrt{ {x}^{2} } = \sqrt{4} \\ x = 2$

Probamos

$10 {x}^{2} - 40 = 0 \\ 10( {2}^{2} ) - 40 = 0 \\ 10(4) - 40 = 0 \\ 40 - 40 = 0 \\ 0 = 0$

B)

${x}^{2} = \frac{4}{25} \\ {x}^{2} = 0.16 \: hallar \: raiz \\ \sqrt{ {x}^{2} } = \sqrt{0.16} \\ x = 0.4$

Probamos

${x}^{2} = \frac{4}{25} \\ ( {0.4)}^{2} = \frac{4}{25} \\ 0.16 = \frac{4}{25}$

C)

$100 {x}^{2} - 25 = 0 \\ {x}^{2} = \frac{25}{100} \\ {x}^{2} = 0.25 \\ \sqrt{ {x}^{2} } = \sqrt{0.25} \\ x = 0.5$

Probamos

$100 {x}^{2} - 25 = 0 \\ 100( {0.5)}^{2} - 25 = 0 \\ 100(0.25) - 25 = 0 \\ 25 - 25 = 0 \\ 0 = 0$

D)

$10 {x}^{2} - 50 = 0 \\ {x}^{2} = \frac{50}{10} \\ {x}^{2} = 5 \\ \sqrt{ {x}^{2} } = \sqrt{5} \\ x = 2.236$

Probamos

$10 {x}^{2} - 50 = 0 \\ 10( {2.236)}^{2} - 50 = 0 \\ 10(5) - 50 = 0 \\ 50 - 50 = 0 \\ 0 = 0$

E)

$3 {x}^{2} - 3 = 0 \\ {x}^{2} = \frac{3}{3} \\ {x}^{2} = 1 \\ \sqrt{ {x}^{2} } = \sqrt{1} \\ x = 1$

Probamos

$3 {x}^{2} - 3 = 0 \\ 3( {1)}^{2} - 3 = 0 \\ 3(1) - 3 = 0 \\ 3 - 3 = 0 \\ 0 = 0$

F)

$5 {x}^{2} - 10 = 0 \\ {x}^{2} = \frac{10}{5} \\ {x}^{2} = 2 \\ \sqrt{ {x }^{2} } = \sqrt{2} \\ x = 1.414$

Probamos

$5 {x}^{2} - 10 = 0 \\ 5( {1.414)}^{2} - 10 = 0 \\ 5(2) - 10 = 0 \\ 10 - 10 = 0 \\ 0 = 0$

Espero te sirva