Question

How do I solve x² - 10x-3=0

Answer 1

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 = $\frac{-b + \sqrt{b^{2} -4ac} }{2a}$ or x = $\frac{-b - \sqrt{b^{2} -4ac} }{2a}$

(The reason I did 2 equations is because brainliest does not allow me to do the ± in the equation insert thing )

x = $\frac{-(-10) + \sqrt{-10^{2} -4(1)(-3)} }{2(1)}$ or x = $\frac{-(-10) - \sqrt{-10^{2} -4(1)(-3)} }{2(1)}$

x = $\frac{10 + \sqrt{100+12} }{2}$ or x= $\frac{10 - \sqrt{100+12} }{2}$

x = $\frac{10 + {4\sqrt{7}} }{2}$ or x = $\frac{10 - {4\sqrt{7}} }{2}$

x = $5+2\sqrt{7}$ or x = $5 -2\sqrt{7}$

Hope this helped and brainliest please