x 2 3x k 1 0

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x 2 3x k 1 0 It is written in the form ax 2 bx c 0 where x is the variable and a b and c are constants a 0 How do you know if a quadratic equation has two solutions A

Free Pre Algebra Algebra Trigonometry Calculus Geometry Statistics and Chemistry calculators step by step Solve an equation inequality or a system Example 2x 1 y 2y 3 x 1 2 3 4 5 6 7 8 9 0 F A x y G

x 2 3x k 1 0

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Solve Using the Quadratic Formula x 2 3x 1 0 x2 3x 1 0 x 2 3 x 1 0 Use the quadratic formula to find the solutions b b2 4 ac 2a b b 2 4 a c 2 a X2 3x 9 4 9 4 1 0 The first 3 terms now will form a PST perfect square trinomial x2 3x 9 4 9 4 1 0 x2 3x 9 4 9 4 1 0 this x2 3x

What does the solution tell us The two solutions are the x intercepts of the equation i e where the curve crosses the x axis The equation x 2 3 x 4 0 looks like X 2 3x k 0 en Related Symbolab blog posts Middle School Math Solutions Equation Calculator Welcome to our new Getting Started math solutions series Over the next

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Mathematics Question If one zero of a quadratic polynomial x2 3x k is 2 find the value of k Solution Verified by Toppr Given that 2 is a zero of equation x2 3x k 0 thus Algebra Solve by Factoring x 2 3x 0 x2 3x 0 x 2 3 x 0 Factor x x out of x2 3x x 2 3 x Tap for more steps x x 3 0 x x 3 0 If any individual factor on the left

I will interpret your question as for an equation 3x 2 2kx k 1 0 with two real roots find k corresponding to the least x 1 x 2 Thus we first calculate the Find the Roots Zeros x 3 3x 2 3x 1 0 Step 1 Factor the left side of the equation Tap for more steps Step 1 1 Regroup terms Step 1 2 Rewrite as Step 1 3 Step 1 8 2

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x 2 3x k 1 0 - Solve Using the Quadratic Formula x 2 3x 1 0 x2 3x 1 0 x 2 3 x 1 0 Use the quadratic formula to find the solutions b b2 4 ac 2a b b 2 4 a c 2 a