Question

If a, a2+2and a3+10 are in gp then find the value of a​

Answer 1

Heya

a , (a² + 2 ) And ( a³ + 10 ) are in g.p given.

=>

( a² + 2 ) = √{a×{a³+10}

SQUARING BOTH SIDE'S

a⁴ + 4 +4a² = a⁴ + 10a

=>

a⁴ - a⁴ + 4a² - 10a + 4 = 0

=>

4a² - 10a + 4 = 0

=>

2a² - 5a + 2 = 0

=>

2a² - 4a - a + 2 = 0

=>

2a{ a - 2 } -1 ( a - 2 ) = 0

=>

a = 1/2 OR a = 2

Answer 2

Answer:

the answer is 1/2 or 2 and the upper explanation is correct