if root 13 minus a root 10 is equals to root a + root 5 then find the value of a
Answers
Answer:-4
Step-by-step explanation:
√13-a√10
=√5+√8
=(√13-a√10)^2
=(√5×√8)^2
=13-a√10
=5+8+2√40
=13-a√10
=13+4√10
= -a = 4
= a = -4
I hope it is helpful
Answer:
a = (18 + 2√130)/(1 + 2√5)
Step-by-step explanation:
Consider the given equation:
√13 - √10 = √a + √5
To find the value of 'a', we need to extract the term containing 'a' from one side of the equation. We start by squaring both sides of the equation:
(√13 - √10)^2 = (√a + √5)^2
If we simplify the left side of the equation, we get:
(√13 - √10)^2 = (13 - 2√130 + 10) = 23 - 2√130
If we simplify the right-hand side of the equation, we get:
(√a + √5)^2 = a + 2√5a + 5
If we now combine the left and right sides of the equation, we get:
23 - 2√130 = a + 2√5a + 5
After rearranging the terms we get:
a + 2√5a = 18 + 2√130
After further simplification we get:
one(1 + 2√5) = 18 + 2√130
a = (18 + 2√130)/(1 + 2√5)
So we found that the value of “a” is (18 + 2√130)/(1 + 2√5).
The value of "a" in the given equation is (18 + 2√130)/(1 + 2√5). It is important to follow the correct mathematical steps when solving such equations in order to get the right answer.
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