YosiahM610294 YosiahM610294
  • 03-11-2022
  • Mathematics
contestada

Solve the equation. (Enter your answers as a comma-separated list.)2b2 − 18 = −9b

Solve the equation Enter your answers as a commaseparated list2b2 18 9b class=

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AdriellU556262 AdriellU556262
  • 03-11-2022

Given

The equation,

[tex]2b^2-18=-9b[/tex]

To solve for b.

Explanation:

It is given that,

[tex]2b^2-18=-9b[/tex]

That implies,

[tex]\begin{gathered} 2b^2-18=-9b \\ 2b^2+9b-18=0 \\ 2b^2-3b+12b-18=0 \\ b(2b-3)+6(2b-3)=0 \\ (2b-3)(b+6)=0 \\ 2b-3=0,b+6=0 \\ 2b=3,b=-6 \\ b=\frac{3}{2},b=-6 \end{gathered}[/tex]

Hence, the answer is 3/2, -6.

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