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b) x² - 12x + 35 = 0​

Răspuns :

x²-12x+35=0

{a=1

{b=-12

{c=35

∆=b²-4ac=(-12)²-4•1•35=144-140=4

✓∆=✓4=2

[tex]\bf x1 = \frac{ - b - \sqrt{∆} }{2a} = \frac{12 - 2}{2} = \frac{10}{2} = 5[/tex]

[tex]\bf x2 = \frac{ - b + \sqrt{∆} }{2a} = \frac{12 + 2}{2} = \frac{14}{2} = 7[/tex]

S={5;7}

x²-5x-7x+35=0

x(x-5)-7(x-5)=0

(x-5)(x-7)=0

x-5=0

x-7=0

x=5

x=7