Start learning 50% faster. Sign in now
x2 – (2+√2)x + 2√2 = 0 ------ (i) x2 - 2√2x + 2 = 0 ------ (ii) Now, x + a = 0 => x = -a ------ (iii) Substituting in (i) and (ii), => x2 - (2 + √ 2) x + 2√2 = 0 => a2 - ( 2 + √ 2 ) (-a) + 2√ 2 = 0 => a2 + ( 2 + √ 2 ) a + 2√ 2 = 0 => x2 - 2√ 2 x + 2 = 0 => a2 + 2√ 2 a + 2 = 0 Now, => a2 + ( 2 + √ 2 ) a + 2√ 2 = a2 + 2√ 2 a + 2 2a + √ 2 a + 2√ 2 = 2√ 2 a + 2 2a + √ 2a - 2√ 2 a = 2 - 2√ 2 2a - √ 2a = 2 - 2√ 2 a ( 2 - √ 2 ) = 2 - 2√ 2 a = ( 2 - 2√ 2 ) / ( 2 - √ 2 ) Substituting the value of a in the equation: √ ( 5√ 2 - a ) 3√ 2 = √ ( 5√ 2 - [ ( 2 - 2√ 2 ) / ( 2 - √ 2 ) ] × 3√ 2 = √ [ ( 5√ 2 × ( 2 - √ 2 ) ) - ( 2 - 2√ 2 ) / ( 2 - √ 2 ) ] × 3√ 2 = √ [ ( 10√ 2 - 10 - 2 + 2√ 2 ) / ( 2 - √ 2 ) ] × 3√ 2 = √ [ ( 12√ 2 - 12 ) / ( 2 - √ 2 ) ] × 3√ 2 = √ [ ( (36 × 2) - ( 36 × √ 2 ) ) / ( 2 - √ 2 ) ] = √ ( 72 - 36√ 2) / ( 2 - √ 2 ) = √ 36 ( 2 - √ 2 ) / ( 2 - √ 2 ) = √ 36 = 6 ∴ √ ( 5√ 2 - a ) 3√ 2 = 6
? + 156 ÷ 3 × 7 = 35% of 400 + (13)2
Find the simplified value of the given expression.
{12.75 × √64 + 13.5 × √(√256)} ÷ 6 + 49.5 ÷ 5.5Â
(√7225 x √1225)/(√625) = ?
The value of {5 − 5 ÷ (10 − 12) × 8 + 9} × 3 + 5 + 5 × 5 ÷ 5 of 5 is:
(8.6 × 8.6 + 4.8 × 4.8 + 17.2 × 4.8) ÷ (8.62 – 4.82 ) = ? ÷ 19
390/? = √256 + 3.5
Find the simplified value of the given expression:
224 ÷ 4 + 7 X 36 - 8 of 15 + 162 - 300
2/5 of 3/4 of 7/9 of 7200 = ?
√? + √1296 + √729 = 464/4 Â