How do you solve x^2 - 2x + 10 = 0?
2 Answers
May 14, 2018
Explanation:
"the equation is in standard form "color(white)(x)ax^2+bx+c=0
"with "a=1,b=-2" and "c=10
"there are no whole number values which allow us to"
"factor the quadratic"
"check the value of the "color(blue)"discriminant"
•color(white)(x)Delta=b^2-4ac
b^2-4ac=(-2)^2-(4xx1xx10)=4-40=-36
"since "Delta<0" then roots are complex"
"to calculate use the "color(blue)"quadratic formula"
•color(white)(x)x=(-b+-sqrt(b^2-4ac))/(2a)
rArrx=(2+-sqrt(-36))/2=(2+-6i)/2
rArrx=1+-3i
May 14, 2018
Solution:
Explanation:
It has complex roots.
Solution: