coordinates of the roots of the equation x 2 4x 3 0 The n tuples that are solutions of a linear equation in n variables are the Cartesian coordinates of the points of an dimensional hyperplane in an n dimensional Euclidean space
Answer x 1 or x 3 Explanation Split the middle term into two terms x 2 x 3x 3 0 Factor the first two terms and the last two terms separately x x 1 3 x 1 0 Factor out x 1 x 3 0 For the quadratic equation ax2 bx c 0 the formula for the roots is x b b2 4ac 2a 1 Identify the values for a b c x2 4x 3 0
coordinates of the roots of the equation x 2 4x 3 0
coordinates of the roots of the equation x 2 4x 3 0
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One common method of solving quadratic equations involves expanding the equation into the form ax2 bx c 0 and substituting the a b and c coefficients into a formula known as the quadratic formula This formula x b b2 4ac When the graph of y ax 2 bx c is drawn the solutions to the equation are the values of the x coordinates of the points where the graph crosses the x axis Example Draw the
The quadratic equation has two unique roots when 0 Then the first solution of the quadratic formula is x B 2A and the second is x B 2A The quadratic equation has only one root when 0 The X 2 4x 3 0
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coordinates of the roots of the equation x 2 4x 3 0 - The equation factorises to give x 3 x 2 0 so the solutions to the equation x 2 x 6 0 are x 3 and x 2 The graph of y x 2 x 6 crosses the x axis at x