Question

answer as much u know

Answer 1

11) find the roots of the equation 2x^2-x+1/8 = 0

answer in picture

10)which term of the AP 3,8,13,18,.....will be 55more than its 20th term
Coming to the question.
a=3, d=5, aₙ=55 more than the 20th term i.e.
aₙ=55+{3+(20-1)5= 55+{3+95}=55+98= 153
according to formula,
aₙ= a+(n-1)d
153=3+(n-1)5
150=n×5-5
155=5n
therefore,n=31.(solved)

13)solve :-

a − b) x + (a + b) y = a 2 − 2ab − b 2 … (1)

(a + b) (x + y) = a 2 + b 2(a + b) x + (a + b) y = a 2 + b 2 … (2)

Subtracting equation (2) from (1), we obtain
(a − b) x − (a + b) x = (a 2 − 2ab − b 2) − (a 2 + b 2)(a − b − a − b) x = − 2ab − 2b 2− 2bx = − 2b (a + b)x = a + bUsing equation (1), we obtain(a − b) (a + b) + (a + b) y = a 2 − 2ab − b 2a 2 − b 2 + (a + b) y = a 2− 2ab − b 2(a + b) y = − 2ab

14) prove that 5-3√2is an irrational number

5-3√2 = 2√2

A proof that the square root of 2 is irrational. ... The proof that √2 is indeed irrational is usually found in college level math texts, but it isn't that difficult to follow. It does not rely on computers at all, but instead is a "proof by contradiction": if √2WERE a rational number, we'd get a contradiction.

this is your answer.....