What is the value of x in this figure?
1 answer:
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Answer:
In the operation, simplify
9-a² = (3-a)(3+a)
Factorize
4a²-4a-24-------------------divide each term by 4
a²-a-6-------------------------factorize
a²-3a+2a-6
a(a-3)+2(a-3)
(a+2)(a-3)
Factorize
a²-6a+9
a²-3a-3a+9
a(a-3)-3(a-3)
(a-3)(a-3)
Rewrite operation as
Multiply by the recipricol
cancel the similar terms
Answer:
Larger number is 13 and Smaller number is 4.
Step-by-step explanation:
Let the larger number be x.
Also let the smaller number be y.
We need to find the two numbers.
Given:
The larger of two numbers is twice the smaller increased by five.
framing in equation form we get;
⇒equation 1
Also Given:
Three times the larger exceeds double the smaller by 31
⇒equation 2
Now Substituting the value of x from equation 1 in equation 2 we get;
Now Using Distributive property we get;
Combining the like terms we get;
Now Using Subtraction property we get;
Now Using Division property we get;
Now Substituting value of y in equation 1 we will find the value of x.
Hence Larger number is 13 and Smaller number is 4.