Question

please slove this sum in 3 methods
4x^2-115 x +375 = 0 ​

Answer 1

Step-by-step explanation:

The factors of 4×375 are 2,2,3,5,5,5. So the best combination, that sums up tp 115 is that of 3×5=15 and 2×2×5×5=100. Hence,

4x2 - 115x + 375

4x2 – 100x – 15x + 375

=> 4x (x-25) – 15 (x-25)

Taking out (x-25) common,

=> (x-25)(4x-15) = 0

=> (x-25) = 0 or (4x-15) = 0

=> x = 25, 15/4

Answer 2

Step-by-step explanation:

Step-by-step explanation:METHOD -1

Step-by-step explanation:METHOD -1 4x^2-115x+375

Step-by-step explanation:METHOD -1 4x^2-115x+375

step 1 use sum and product factor

4x^2 -15x-100x+375

step-2 take common factor

x(4x-15)-25(4x-15)

step 3 write in factored form

(x-25) (4x-15)

step 4 write each factor in equation form

x-25=0 and 4x-15=0

step 5 solve them and find x value

x=25 and 4x-15 =0

4x=15

x= 15 /4

METHOD 2

STEP 1 using quadratic equations formula

x= -b_+ √b^2-4ac/2a

step 2

given equation is 4x^2-115x+375

here a=4

b=-115

c=375

step 3

substitute the value in the formula

x =-(-115)_+√(-115)^2-4(4)(375)/2(4)

x = 115 +85/8 and x= 115-85 /8

x= 200/8 x= 30/8

x=25 x=15/4