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Help me solve this equation

Help me solve this equation-example-1
User JBSnorro
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1 Answer

3 votes

Answer:

x = -2 + √7 and x = -2 - √7

Explanation:

To ease the solution of this problem, rewrite it in standard quadratic form:

x^2 + 4x - 3 = 0.

One way to solve this is by completing the square. We take 4 (the coefficient of x), halve that, obtaining 2, and then square the result, obtaining 4.

Add 4 to x^2 + 4x, and then subtract 4:

x^2 + 4x + 4 - 4 - 3 = 0, or (x + 2)^2 = 7

Taking the sqrt of both sides, we get x + 2 = plus or minus √7.

The solutions are thus x = -2 + √7 and x = -2 - √7.

User Davsp
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