Question

2x2 - 12x + 10
what are the roots​

Answer 1

5 & 1

Explanation:

We can use the quadratic formula to solve this:

Quadratic Formula =
`(-b+-√(b^2-4ac) )/(2a)`

So we will have 2 answers (roots).

a is the coefficient of x^2 (2)

b is the coefficient of x (-12)

c is the constant (10)

Now, substituting, we get:

x =
`(-b+-√(b^2-4ac) )/(2a)=(12+-√((-12)^2-4(2)(10)) )/(2(2))=(12+-√(64) )/(4)=(12+-8)/(4)=(12+-8)/(4)=5,1`

Hence the roots are 5 & 1