Question

1° encontre as raízes das equações na forma ax^2+c=0

a) x-100=0

b)x^2- 9/4=0

c)4x^2-81=0

d)9x^2-16=0

e)x^2-49=0

f)3x^2-12=0

g)x^2-121=0

por favor me ajudem


h)2^2-6=0​

Answer 1

Resposta:

a)$x=100$

b)x=$x={\frac{3}{2}  ∨  - \frac{3}{2}$

c)x=$\frac{9}{2}$  ∨  $x=-\frac{9}{2}$

d)$x=\frac{4}{3}$  ∨  $x=-\frac{4}{3}$

e)$x=7$

f)$x=2$

g)$x=11$

h)$x=\sqrt{6}$

Explicação passo-a-passo:

a) x-100=0⇔x=100

b)$x^{2} -\frac{9}{4} =0$⇔$x^{2} =\frac{9}{4}$⇔$x=\sqrt{\frac{9}{4\\}}$⇔$x=\frac{3}{2}$∨$x=-\frac{3}{2}$

$x={\frac{3}{2},- \frac{3}{2}$

c)$4x^{2} =81$⇔$x^{2} =\frac{81}{4}$⇔$x=\sqrt{\frac{81}{4} }$⇔$x=\frac{9}{2}$  ∨  $x=-\frac{9}{2}$

d)$9x^{2} =16$⇔$x^{2} =\frac{16}{9}$⇔$x=\sqrt{\frac{16}{9} }$⇔$x=\frac{4}{3}$  ∨  $x=-\frac{4}{3}$

e)$x^{2} =49$⇔$x=\sqrt{49}$⇔$x=7$

f)$3x^{2} =12$⇔$x^{2} =\frac{12}{3}$⇔$x=\sqrt{4}$⇔$x=2$

g)$x^{2} =121$⇔$x=\sqrt{121}$⇔$x=11$

h)$x^{2}=6$⇔$x=\sqrt{6}$