4x 2 + 4bx - (a 2 - b 2 ) = 0 please solve this equation................
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Given Equation is 4x^2 + 4bx - (a^2 - b^2) = 0
4x^2 + 4bx - (a + b)(a - b) = 0
2x * 2x + 2 * 2bx - (a + b)(a - b) = 0
2x * 2x + 2[(a + b) - (a - b)]x - (a + b)(a - b) = 0
2x * 2x + 2(a + b)x - 2(a - b)x - (a + b)(a - b) = 0
2x * 2x + 2x(a + b) - 2x(a - b) - (a + b)(a - b) = 0
2x(2x + (a + b)] - (a - b)[2x + (a + b)] = 0
2x + (a + b) = 0 (or) 2x - (a - b) = 0
2x = -(a + b) (or) 2x = (a - b)
x = -(a + b)/2 (or) x = (a - b)/2.
Hope this helps!
4x^2 + 4bx - (a + b)(a - b) = 0
2x * 2x + 2 * 2bx - (a + b)(a - b) = 0
2x * 2x + 2[(a + b) - (a - b)]x - (a + b)(a - b) = 0
2x * 2x + 2(a + b)x - 2(a - b)x - (a + b)(a - b) = 0
2x * 2x + 2x(a + b) - 2x(a - b) - (a + b)(a - b) = 0
2x(2x + (a + b)] - (a - b)[2x + (a + b)] = 0
2x + (a + b) = 0 (or) 2x - (a - b) = 0
2x = -(a + b) (or) 2x = (a - b)
x = -(a + b)/2 (or) x = (a - b)/2.
Hope this helps!
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