Question

12x2 - 25x + 12 = 0 solve using quadratic forumula

Answer 1

`x=0.75 \,\,or \,\, x=(4)/(3)`

Explanation:

Recall the quadratic formula that applies for the solutions to a quadratic equation of the form:
`ax^2+bx+c=0`

which gives the solutions for possible x values as:

`x=(-b+/-√(b^2-4ac) )/(2a)`

Therefore, for our case we have:

`x=(-b+/-√(b^2-4ac) )/(2a) \\x=(25+/-√(25^2-4(12)(12)) )/(2(12)) \\x=(25+/-√(49) )/(24) \\x=(25+/-7 )/(24) \\x=0.75 \,\,or \,\, x=(4)/(3)`