One of the two solutions to the equation $5x^2 - 11x - 36 = 0$ is $x = 4$. What is the other solution?

-9/5

Step-by-step explanation:

See image. Find one factor by the given x=4. The factor would have been x-4 and from

x-4 =0

You could divide the quadratic by x-4. But its simpler to just factor the quadratic. See image.

the other solution is

Solution given:

doing middle term factorization

we need to get 11 by subtracting product of 5 and 36.

5*36=180=2*2*3*3*5

we get 11 by subtracting 5*2*2-3*3=20-9

substituting value of 11 as (20-9)

now

open bracket

taking common from each two terms

5x(x-4)+9(x-4)=0

again taking common

(x-4)(5x+9)=0

either

x-4=0

x=4

or

5x+9=0

5x=-9

x=

Step-by-step explanation:

30

step-by-step explanation:

times by times