Ответы
Ответ:
Объяснение:
3+62=4x2· 4 : x=
√39
4
, x=−
√39
4
(Decimal: x=1.56124…, x=−1.56124…)
Steps
3+62=4x2· 4
Switch sides
4x2· 4=3+62
62=36
4x2· 4=3+36
Add the numbers: 3+36=39
4x2· 4=39
Divide both sides by 4· 4
4x2· 4
4· 4
=
39
4· 4
Simplify
4x2· 4
4· 4
=
39
4· 4
Hide Steps
Simplify
4x2· 4
4· 4
: x2
4x2· 4
4· 4
Multiply the numbers: 4· 4=16
=
16x2
16
Divide the numbers:
16
16
=1
=x2
Hide Steps
Simplify
39
4· 4
:
39
16
39
4· 4
Multiply the numbers: 4· 4=16
=
39
16
x2=
39
16
x2=
39
16
For x2=f(a) the solutions are x=√f(a), −√f(a)
x=√
39
16
, x=−√
39
16
√
39
16
=
√39
4
√
39
16
Apply radical rule: √
a
b
=
√a
√b
, a≥0, b≥0
=
√39
√16
Hide Steps
√16=4
√16
Factor the number: 16=42
=√42
Apply radical rule: √a2=a, a≥0
√42=4
=4
=
√39
4
−√
39
16
=−
√39
4
−√
39
16
Apply radical rule: √
a
b
=
√a
√b
, a≥0, b≥0
=−
√39
√16
Hide Steps
√16=4
√16
Factor the number: 16=42
=√42
Apply radical rule: √a2=a, a≥0
√42=4
=4
=−
√39
4
x=
√39
, x=−
√39