If four time a whole numher is subtracted from 3 time the square of the number the result is 15. find the number
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- That number is 3 or -5/3.
- Four times a whole number is subtracted from 3 times the square of the number the result is 15.
- That number.
Let
- That number be x
Four times the number = 4x
- three times the square of the number = 3x²
Equation :- 3x² - 4x = 15
According to question :-
⇒ 3x² - 4x = 15
⇒ 3x² - 4x - 15 = 0
⇒ 3x² - 9x + 5x - 15 = 0
⇒ 3x (x - 3) + 5 (x - 3) = 0
⇒ (3x + 5) (x - 3) = 0
_____________________
→ 3x + 5 = 0
⇒ 3x = 0 - 5
⇒ 3x = -5
⇒ x = -5/3
→ x - 3 = 0
⇒ x = 0 + 3
⇒ x = 3
_____________________
Hence, that number is 3 or -5/3.
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