Answer :
[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]
[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]
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...
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...
