Please someone help

Question

Use the discriminant to determine whether the given equation has two irrational roots, two rational roots, one repeated root, or two complex roots. Do not solve. x²-10=5x

Answer 1

x² - 10 = 5x

 

Write it standard form:

 

x² - 5x - 10 = 0

 

a = 1

b = -5

c = -10

 

D = b² - 4ac = (-5)² - 4(1)(-10) = 25 + 40 = 65

 

D > 0 ⇒ 2 different real roots

 

D is not a perfect square, so the roots are irrational