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in a two-digit number the tens digit is four less than the units digit. seven times the tens digit plus five times the units digit is equal to 56. find the digits.

The digits are 37 (Thirty seven).

Step-by-step explanation:

Given:

Two digit number.

Let the ones place digit be x

and

The tens place digit be (x - 4)

So the two digit number is (x-4)(x).

According to question:

Seven times the tens digit plus five times the units digit is equal to 56.

⇒  

⇒  

⇒     ...subtracting 28 both sides

⇒  

⇒        ...dividing both sides with 12

So the ones place digit is and tens place digit is

The number is 37.

Check:

So the digits are 37 as our final answer.

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.

answer: (-6,3)

step-by-step explanation: