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stion 31
Solve the equation 15x2-2bx-b2=0 by using Quadratic formula
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Answer 1

Answer:

$x = ( - b) \div 5 \: \: \: \: \: or \: \: \: x = b \div 3$

Step-by-step explanation:

$15 {x}^{2} - 2bx - {b}^{2} = 0 \\ 15 {x }^{2} - 5bx + 3bx - {b}^{2} = 0 \\ 5x(3x - b) + b(3x - b) = 0 \\ (5x + b)(3x - b) = 0 \\ so \\ 5x + b = 0 \: \: \: or \: \: 3x - b = 0 \\ x = ( - b) \div 5 \: \: \: \: or \: \: \: x = b \div 3$