# How do you solve #\frac { 1} { 4} x ^ { 2} = 3x - \frac { 25} { 2}#?

##### 1 Answer

Jun 11, 2018

no solutions

#### Explanation:

multiply both sides by 4 to remove the fractions:

If we check the discriminant of the form

Since the discriminant is negative there are no real solutions to this polynomial as can be seen from its graph:

graph{x^2-12x+50 [-35.17, 44.83, -3.52, 36.48]}