Question
I. 2y2Â + 11y + 15 = 0 II.
3x2Â + 4x - 4= 0Solution
I. 2y2Â + 11y + 15 = 0 2y2Â + 6 y + 5 y + 15 = 0 2y (y + 3) + 5(y + 3) = 0 y = - 3, -5/2 II. 3x2Â + 4x - 4= 0 3x2Â + 6 x - 2 x - 4 = 0 3x (x + 2) - 2(x + 2) = 0 (3x - 2) (x + 2) = 0 x = - 2, 2/3 Hence, x < y. Alternate Method: if signs of quadratic equation is +ve and +ve respectively then the roots of equation will be -ve and -ve. So, roots of first equation = y = -3, -5/2 if signs of quadratic equation is +ve and -ve respectively then the roots of equation will be -ve and +ve. (note: -ve sign will come in larger root) So, roots of second equation = x = -2, 2/3 After comparing roots of quadratice eqution we can conclude that x > y.
Determine the simplified value of the given mathematical expression.
((8)0- (0.1)-1)/( (6/16)-1 ×(3/2)3+ ((-2)/6)-1) = ?/2
(22% of 1500 + 15% of 2200) = ? x 11
Simplify the given expression:
[(2.3)3 + (15.9) ³ + (3.7) ³ – 3 × 2.3 × 15.9 x 3.7)] / [(2.3) ² + (15.9) ² + (3.7) ² – 2.3 ...
What is the place value of 6 in 367892141?
(21 × 51 + 81)/(9 × 14 - 30) = ?
10% of 100 + 14 = ?% of 120
24% of 400 × 16% of ? = 384
- What will come in place of the question mark (?) in the following questions?
25% of 360+40=?