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[tex]15 x^{2} +14x-49=0[/tex]

Sagot :

ScreenBlackk
[tex]15x^2+14x-49=0\\\\ Terms:\\ a=15\ \ \ \ b=14\ \ \ \ c=-49\\ Quadratic\ Formula:\\\\ x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\ x=\dfrac{-14\pm\sqrt{196+2,940}}{30}\\\\ x=\dfrac{-14\pm\sqrt{3,136}}{30}\\\\ x=\dfrac{-14\pm56}{30}[/tex]

[tex]Roots:\\\\ x'=\dfrac{-14+56}{30}\\\\ x'=\dfrac{42}{30}\\\\ x'=\dfrac{21}{15}\\\\ \boxed{x'=\dfrac{7}{5}}\\\\\\\\ x''=\dfrac{-14-56}{30}\\\\ x''=\dfrac{-70}{30}\\\\ \boxed{x''=\dfrac{-7}{3}}[/tex]
Panoyin
15x² + 14 - 49 = 0
x = -(14) +/- √((14)² - 4(15)(-49))
                         2(15)
x = -14 +/- √(196 + 2940)
                     30
x = -14 +/- √(3136)
                 30
x = -14 +/- 56
             30
x = -14 + 56      x = -14 - 56
           30                     30
x = 42               x = -70
      30                      30
x = 1.4              x = 2.33...
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