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
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×a×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
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
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