Find the zeros of the quadratic equation (2x^2 - 8x - 10 = 0) by completing the square.

Question

Accepted Answer

Step:1 ：Step 1: Divide every term by 2 to simplify the equation. This gives us (x^2 - 4x - 5 = 0).Step:2 ：Step 2: Rearrange the equation to isolate the square terms on one side: (x^2 - 4x = 5).Step:3 ：Step 3: Complete the square on the left side of the equation by adding the square of half the coefficient of x to both sides of the equation. This gives us ((x - 2)^2 = 9).Step:4 ：Step 4: Take the square root of both sides to solve for x. This gives us two possible solutions: (x - 2 = 3) or (x - 2 = -3).Step:5 ：Step 5: Solve each equation for x to get the zeros of the original quadratic equation. This gives us (x = 2 + 3) or (x = 2 - 3).

Answer

Step: 1 ：Step 1: Divide every term by 2 to simplify the equation. This gives us (x^2 - 4x - 5 = 0).Step: 2 ：Step 2: Rearrange the equation to isolate the square terms on one side: (x^2 - 4x = 5).Step: 3 ：Step 3: Complete the square on the left side of the equation by adding the square of half the coefficient of x to both sides of the equation. This gives us ((x - 2)^2 = 9).Step: 4 ：Step 4: Take the square root of both sides to solve for x. This gives us two possible solutions: (x - 2 = 3) or (x - 2 = -3).Step: 5 ：Step 5: Solve each equation for x to get the zeros of the original quadratic equation. This gives us (x = 2 + 3) or (x = 2 - 3).

Find the zeros of the quadratic equation $2 x^{2} - 8 x - 10 = 0$ by completing the square.

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Popular Problems

Find the zeros of the quadratic equation 2x2−8x−10=0 by completing the square.

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Popular Problems

Find the zeros of the quadratic equation $2 x^{2} - 8 x - 10 = 0$ by completing the square.