The roots of an equation are values that make it zero. For example, x - 1...

 

 

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The roots of an equation are values that make it zero. For example, x - 1 X 0 (x 1)(x + 1) = 0 I Then x = 1 or x = -1 makes eq. 13 zero. Let's verify this. Taking x = 1 1 1 = 1-1=0 I1 (15) For a quadratic equation (input variable is a power of two), there will be two roots. We'll consider complex numbers later, but for now, we'll assume the roots exist as real numbers. You learned that for a quadratic ax +bx + c = 0, two roots x1, x2 can be determined: -b+b2 + 4ac 2a -b-b2 + 4ac 2a X1 x2 For -1 the coefficients are a = 1, b = 0, c = -1. Then -0+ 0 - 4(1)(1) 2(1) = = 4 2 2 2 = - (13) (14) (16) (17) (18) (19) The roots of an equation are values that make it zero. For example, x - 1 X 0 (x 1)(x + 1) = 0 I Then x = 1 or x = -1 makes eq. 13 zero. Let's verify this. Taking x = 1 1 1 = 1-1=0 I1 (15) For a quadratic equation (input variable is a power of two), there will be two roots. We'll consider complex numbers later, but for now, we'll assume the roots exist as real numbers. You learned that for a quadratic ax +bx + c = 0, two roots x1, x2 can be determined: -b+b2 + 4ac 2a -b-b2 + 4ac 2a X1 x2 For -1 the coefficients are a = 1, b = 0, c = -1. Then -0+ 0 - 4(1)(1) 2(1) = = 4 2 2 2 = - (13) (14) (16) (17) (18) (19)

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Solution to Quadratic Root Calculation Heres the solution to calculating the roots of a quadratic eq... View the full answer