bonjour
A(x) = 15 x² - 22 x - 5
A (x) = - 5
15 x² - 22 x - 5 = - 5
15 x² - 22 x - 5 + 5 = 0
x ( 15 x - 22 ) = 0
x = 0 ou 22/15
A (x) = 0
15 x² - 22 x - 5 = 0
Δ = 484 - 4 ( 15 * - 5 ) = 484 + 300 = 784 = 28 ²
x 1 = ( 22 - 28 ) / 30 = - 6 /30 = - 1 /5
x 2 = ( 22 + 28 ) / 30 = 50/30 = 5/3
S ( - 1/5 ; 5/3 )
A (x) = 15 x²
15 x² - 22 x - 5 = 15 x²
15 x² - 15 x² - 22 x = 5
- 22 x = 5
x = - 5/22
A (x) = - 196/15
15 x² - 22 x - 5 = - 196/15
15 x² - 22 x = - 196/15 + 5
225 x² / 15 - 330 x /15 = - 196/15 + 75/15
225 x² - 330 x = - 121
225 x² - 330 x + 121 = 0
( 15 x - 11 )² = 0
x = 11/15
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bonjour
A(x) = 15 x² - 22 x - 5
A (x) = - 5
15 x² - 22 x - 5 = - 5
15 x² - 22 x - 5 + 5 = 0
x ( 15 x - 22 ) = 0
x = 0 ou 22/15
A (x) = 0
15 x² - 22 x - 5 = 0
Δ = 484 - 4 ( 15 * - 5 ) = 484 + 300 = 784 = 28 ²
x 1 = ( 22 - 28 ) / 30 = - 6 /30 = - 1 /5
x 2 = ( 22 + 28 ) / 30 = 50/30 = 5/3
S ( - 1/5 ; 5/3 )
A (x) = 15 x²
15 x² - 22 x - 5 = 15 x²
15 x² - 15 x² - 22 x = 5
- 22 x = 5
x = - 5/22
A (x) = - 196/15
15 x² - 22 x - 5 = - 196/15
15 x² - 22 x = - 196/15 + 5
225 x² / 15 - 330 x /15 = - 196/15 + 75/15
225 x² - 330 x = - 121
225 x² - 330 x + 121 = 0
( 15 x - 11 )² = 0
x = 11/15
15x^2 - 22x = 0
x (15x -22) = 0
Soit x = 0 ou 15x -22 = 0
x = 0 ou x = 22/15
b) 15x^2 - 22x - 5 = 0
15x^2 + 3x - 25x -5 = 0
3x(5x+1) -5(5x+1) = 0
(5x +1)(3x-5) = 0
Soit 5x +1 = 0 ou 3x-5=0
x= -1/5 ou x = 5/3
c) 15x^2 - 22x - 5 = 15x^2
-22x -5 = 0
-22x = 5
x = -5/22
d) 15x^2 - 22x - 5 = -196/15
225x^2 - 330x -75 = -196
225x^2 -330x-75+196 = 0
225x^2 -330x + 121 = 0
(15x -11)^2 = 0
15x -11 = 0
15x = 11
x = 11/15