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3x(8 – x) = 2x(x – 5)​

Sagot :

Solved using the quadratic formula:

[tex]x = \frac{34}{5} [/tex]

and

and

[tex]0[/tex]

solved by Factoring:

[tex]x = 0[/tex]

and

[tex] \frac{34}{5} [/tex]

write in standard form:

[tex] - {5x}^{2} + 34x = 0[/tex]

Answer:

3x × (8–x) = 2x × (x–5)

  • remove the parentheses

24x – 3x² = 2x² – 10x

  • move the variables to the left

24x – 3x² = 2x² – 10x = 0

  • collect like terms

34x – 5x² = 0

  • factor the expression

x × (34 – 5x) = 0

  • seperate into the possible cases

x = 0

34 – 5x = 0

  • solve the equation

x = 0

x = 34/5

  • the equation has 2 solutions

Answer;

x1 = 0, x2 = 34/5

Alternate form;

x1 = 0, x2 = 6.8

HOPE IT HELPS !!

  • Brainliest please, thank you.