x+3/x+2=3x-7/2x-3 by using quadratic formula
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Answer:
x = 5 or x = -1
Step-by-step explanation:
BOTH METHODS ARE Follows:-
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Prime factorization method
⇒ (x+3)(2x-3)=(3x-7)(x+2)
⇒ 2x² - 3x + 6x - 9 = 3x² + 6x - 7x - 14
⇒ 2x² + 3x - 9 = 3x² - x - 14
⇒ 3x² - 2x² - x - 3x - 14 + 9 = 0
⇒ x² - 4x - 5 = 0
⇒ x² -5x + x - 5 = 0
⇒ x(x - 5) +1 (x - 5) = 0
⇒ (x - 5) (x + 1) = 0
⇒ x - 5 = 0 or x + 1 = 0
⇒ x = 5 or x = -1
===================================By Quadratic Formula:-
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x² - 4x - 5 = 0
a = 1, b = -4, c = -5
D = b² - 4ac = (-4)² - 4 (1) (-5)
= 16 + 20
= 36
now,
Quadratic formula
x = -b ± √D / 2a
= -(-4) ± √36 / 2(1)
= 4 ± 6 / 2
∴ x =
x =
x = 5 and -1
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