# Find the roots of 4x^2 - 5x = 3? In simplest radical form.

##### 2 Answers

Use the formula

#### Explanation:

Write the equation in form:

Apply the formula:

#### Explanation:

#"first rearrange the equation into standard form"#

#rArr4x^2-5x-3=0larrcolor(blue)"in standard form"#

#"solve for x using the "color(blue)"quadratic formula"#

#â€¢color(white)(x)x=(-b+-sqrt(b^2-4ac))/(2a)larrcolor(blue)"quadratic formula"#

#"here "a=4, b=-5" and "c=-3#

#x=(5+-sqrt(25+48))/8#

#color(white)(x)=(5+-sqrt73)/8#

#rArrx=5/8+-1/8sqrt73#