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A=2b^3-1 what's the value of b if a is 13

Sagot :

A = 2b³ - 1
13 = 2b³ - 1
+ 1         + 1
14 = 2b³
2       2
7 = b³
∛(7) = b
[tex]\sf~A=2b^3-1[/tex]

Plug in A = 13

[tex]\sf~13=2b^3-1[/tex]

Add 1 to both sides:

[tex]\sf~14=2b^3[/tex]

Divide 2 to both sides:

[tex]\sf~7=b^3[/tex]

Find the cube root of both sides:

[tex]\sf~b=\sqrt[3]{7}[/tex]

[tex]\sf~b\approx~1.91[/tex]