Find-the-point-of-intersection-x-y-of-f-x-2x-3-and-g-x-x-3-

Question Number 181755 by Mastermind last updated on 29/Nov/22

Find the point of intersection (x, y)

of f (x) = 2 x - 3 and g (x) = - x^{3} .

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Commented by CElcedricjunior last updated on 30/Nov/22

{\begin{cases} y = 2 x - 3 (1) \\ y = - x^{3} (2) \end{cases} (2) d a n s (1) => x^{3} + 2 x - 3 = 0

(x - 1) (x^{2} + x + 3) = 0 => x = 1

x^{2} + x + 3 = 0 p o s i t i v e c^{'} e s t \overset{`}{a} d i r e

n^{'} a d m e t p a s d e s o l u t i o n

c a s Δ = 1 - 16 = - 16 < 0

p o u r x = 1

y = - 1

d^{'} o \overset{`}{u} c e p o i n t e s t

A (1; - 1)

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\dots \dots l e c e l e b r e c e d r i c j u n i o r \dots \dots . .

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Commented by mr W last updated on 30/Nov/22

y o u d i d i t w r o n g l y!

Answered by mr W last updated on 30/Nov/22

2 x - 3 = - x^{3}

x^{3} + 2 x - 3 = 0

(x - 1) (x^{2} + x + 3) = 0

\Rightarrow x = 1 \Rightarrow y = - 1

i n t e r s e c t i o n (1, - 1)

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