Answer:
Explanation:
Combine like terms in 2x^2-5x+1=x+4: 2x^2 -6x - 3 = 0
The coefficients of this quadratic are {2, -6, -3}. Apply the quadratic formula. Start by finding the discriminant, b^2 - 4ac:
b^2 - 4ac = (-6)^2 - 4(2)(-3) = 36 + 24 = 60
Because the discriminant (60) is positive, we know that this quadratic has two real, unequal roots:
-(-6) ± √60 6 ± (√4)(√15)
x = -------------------- = ----------------------
2(2) 4
or:
6 ± 2√15 3 ± √15
x = ----------------- = ----------------
4 2