Transform (2x+3)²=(x-2)² into a quadratic equation in the form ax²+bx+c=0
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Transform (2x+3)²=(x-2)² into a quadratic equation in the form ax²+bx+c=0
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Answer:
(2x + 3)² = (x - 2)²
(2x + 3)(2x + 3) = (x - 2)(x - 2)
4x² + 6x + 6x + 9 = x² - 2x - 2x + 4
4x² + 12x + 9 = x² - 4x + 4
4x² - x² + 12x + 4x + 9 - 4 = 0
3x² + 16x + 5 = 0
Standard Form : 3x² + 16x + 5 = 0
ax² + bx + c = 0
3x² + 16x + 5 = 0