Answer:
x = 5±2√7
Step-by-step explanation:
This quadratic cannot be factorised via the factorisation method, so we use the quadratic formula :
x = [tex]\frac{-b + \sqrt{b^{2} -4ac} }{2a}[/tex] or x = [tex]\frac{-b - \sqrt{b^{2} -4ac} }{2a}[/tex]
(The reason I did 2 equations is because brainliest does not allow me to do the ± in the equation insert thing )
x = [tex]\frac{-(-10) + \sqrt{-10^{2} -4(1)(-3)} }{2(1)}[/tex] or x = [tex]\frac{-(-10) - \sqrt{-10^{2} -4(1)(-3)} }{2(1)}[/tex]
x = [tex]\frac{10 + \sqrt{100+12} }{2}[/tex] or x= [tex]\frac{10 - \sqrt{100+12} }{2}[/tex]
x = [tex]\frac{10 + {4\sqrt{7}} }{2}[/tex] or x = [tex]\frac{10 - {4\sqrt{7}} }{2}[/tex]
x = [tex]5+2\sqrt{7}[/tex] or x = [tex]5 -2\sqrt{7}[/tex]
Hope this helped and brainliest please
