How do you use the quadratic formula to solve #2.5x^2-3.3x=1.2x-1.5#?

1 Answer
Sep 10, 2017

Answer:

Solution: # x ~~ 1.36, x ~~ 0.44 #

Explanation:

#2.5x^2-3.3x=1.2x-1.5 or 2.5x^2-3.3x -1.2x+1.5 =0 # or

#2.5x^2-4.5x+1.5 =0 # Comparing with standard quadratic

equation #ax^2+bx+c=0# we get here,

#a= 2.5 , b= -4.5 ,c =1.5 #. Discriminant #D=b^2-4ac# or

#D = -4.5^2 - 4*2.5*1.5 = 5.25#

#x= (-b +- sqrtD)/(2a) = (4.5 +- sqrt5.25)/(2*2.5)# or

#x= (4.5 +- sqrt5.25)/5 or x ~~0.9+- 2.29/5# or

#x ~~0.9+- 2.29/5 or x ~~ 0.9+- 0.46 # or

# x ~~ 1.36 (2dp), x ~~ 0.44 (2dp)# [Ans]