solve 4x^2-15x=3 how do i do that
sum = -15, and product = 4*3
write it as 4x^2 - 15x -3 = 0 check to see if this factorises first
quadratic formula
how did you figure that out?
yes - you can use quadratic formula - it does not factorise
[-b+-sqrt(b^2-4*a*c)]/(2*a)
used quadratic formula to solve for x: your given is a=4 b=-15 and c=-3
a=4 b=-15 c=-3
this is x =( -b +- sqrt(b^2 - 4ac)) / 2a for ax^2 + bx + c = 0
have you used this formula before jenni?
no it was a quiz and i have never used this before so i was wanting to know how to do it so next time i will get it right
i got (2x+5)(2x+3) as the simplified form is that what i am supposed to do
wait i meant factored form
ok well as chris said a=4 b=-15 and c=-3 so plugging these values into the formula x = -(-15) + sqrt((-15)^2 - 4* 4*-3) / 2*4 = (15 + sqrt(273)) / 8 or ( 15 - sqrt(273)) / 8 this comes to 3.94 or -0.19 two roots
as what jimmy gave you a quadratic formula x =( -b +- sqrt(b^2 - 4ac)) / 2a , just substitute all the given. a=4 b=-15 c=-3
ok im really confused
what? thats a different equation altogether
2x+5)(2x+3) = 0 right?
the simplest way to solve is by using the quadratic formula"-)
(2x-5)(2x+3) was what i factored out 4x^2-15-3=0
no those are the factors of 4x^2 -4x -15 (2x+5)(2x+3) = 4x^2 + 16x + 15
the equation you originally posted cant be factored that why we used the formula
anyway - i must go
The quadratic formula is:\[-b \pm \sqrt{b ^{2}-4ac}\over 2a\] In the case of the original formula 4x^2-15x=3, it would be rewritten to standard form giving you \[4x ^{2}-15x-3=0\] where a=4,b=-15, and c=-3
Plug those vales into the quadratic formula and you will get the roots of the equation.
\[15\pm \sqrt{15^{2}+48}\over 8\] Can you take it from there?
\[15\pm \sqrt{273}\over8\] \[15\pm16.522712 \over 8\]
3.94, -0.19
Join our real-time social learning platform and learn together with your friends!