Math, asked by kesharvarma50000, 7 months ago

Convert in quadratic equation:

“The difference of two digits is 3 and their

product is 270.”​


amitnrw: Question should be two numbers , Product of two digits can be maximum 54 if difference is 3 as digits are from 0 to 9

Answers

Answered by hasnakm
50

Answer:

Your answer is 15 and 18

Step-by-step explanation:

Let the digits be x and x+3

x(x+3)=270

= x^2+3x=270

x^2+3x-270=0

a=1

b=3

c=-270

x=±root of b^2-4×c

  • x= -3±root of 3^2-4×1×-270÷2×1
  • x=15/ x=-18
  • -18 is a negative value therefore take it as 18.

so the answer is 15 and 18

HOPE IT HELP YOU☺️

Answered by DevendraLal
7

convert in quadratic equation :

"The difference of two numbers is 3 and their product is 270"

Given:

The difference of two numbers is 3 and their product is 270.

To find:

Represent the given situation in the quadratic equation.

Solution:

Let one number is x

and other number is y

According to the condition of the question:

  • x-y = 3 --------------------(I)
  • xy = 270 ---------------(II)

from the first equation

  • x = 3+y

put the value of x in (II) equation

  • xy = 270
  • (3+y)y = 270
  • 3y + y² = 270
  • y²+3y-270 = 0

The quadratic equation is y²+3y-270 = 0

Similar questions