Hi there!
Amit's estimate would be a close estimate!
If you add the fractions together and put it in decimal form you get 4.96 which is very close to Amit's estimate of 5.
Answer:
Firstly, we'll apply the below identity.
Applying the above identity.
⇒ (√5 + √2)²
⇒ (√5)² + (√2)² + 2×(√5)×(√2)
⇒ 5 + 2 + 2√10
⇒ 7 + 2√10
Comparing the LHS and RHS
⇒ 7 + 2√10 = a + b√10
∴ a = 7 and b = 2.
Start by adding 34 to both sides so that the equation becomes -7x^2 + 3x + 6 = 0. To find the solutions to this equation, we can apply the quadratic formula. This quadratic formula solves equations of the form ax^2 + bx + c = 0
x = [ -b ± √(b^2 - 4ac)] /(2a)
x = [-3 ± √((3)^2 - 4(-7)(6)) ] / ( 2(-7) )
x = [-3 ± √(9 - (-168) ) ] / ( -14 )
x = [-3 ± √(177) ] / ( -14)
x = [-3 ± sqrt(177) ] / ( -14 )
x = 3/14 ± -sqrt(177)/14
The answers are 3/14 + sqrt(177)/14 and 3/14 - sqrt(177)/14.
Answer:
29680
Step-by-step explanation:
