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7x2-12x+18=0 |
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Answer» 7x² - 12x + 18\xa0Find the sum of the roots:Sum of the roots = α + βα + β = - b/aα + β = - (-12 ) / 7 = 12/7\xa0Find the product of the roots:Product of the roots = αβαβ = c/aαβ = 18/7Find the ratio:α + β : αβ = 12/7 : 18/7Multiply by 7:α + β : αβ = 12 : 18Divide by 6:α + β : αβ = 2 : 3 14-12x+18 => 32=12x => x=32/12 => x=8/3 |
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