It is known that the two roots of the equation AX2 + BX + C = 0 are - 1 and 3 respectively. The parabola y = AX2 + BX = C has an intersection n (2, - 3) with the straight line y = kx-m passing through the point m (3,2) (1) The analytic formula of straight line and parabola (2) If the parabola passes through the point (a + 1, b2-4) and a is not equal to B, find the value of a + B Sorry, the title should be parabola y = AX2 + BX + C | Math enthusiast | Mathematical art

It is known that the two roots of the equation AX2 + BX + C = 0 are - 1 and 3 respectively. The parabola y = AX2 + BX = C has an intersection n (2, - 3) with the straight line y = kx-m passing through the point m (3,2) (1) The analytic formula of straight line and parabola (2) If the parabola passes through the point (a + 1, b2-4) and a is not equal to B, find the value of a + B Sorry, the title should be parabola y = AX2 + BX + C

If A-B + C = 09A + 3B + C = 04A + 2B + C = - 3 leads to a = 1b = - 2C = - 3, then the parabola analytical formula is y = x2-2x-3 and 3k-m = 22k-m = - 3 leads to k = 5m = 13, then the straight line analytical formula is y = 5x-13 (2) if the parabola analytical formula is y = x2-2x-3 (a + 1, b2-4), then b2-4 = (a + 1 + 1) (a + 1-3) = (a + 2) (a

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