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# X2-5X-6=Completing The Square

Step 5: Find the square roots of the equation's two sides. Make sure the plus or minus sign is attached to the square root of the constant on the right side. Reduce the radical. Step 6: Find x by subtracting both sides by one over three. Because of the plus or minus scenario, you should have two responses.

The quadratic formula completing the square calculator is a free online tool for solving quadratic equations using the completing square technique.

The factoring technique is one of the most fundamental ways for solving quadratic equations. However, this approach is limited to a narrow class of quadratic equations. The quadratic formula and complete the square approaches, on the other hand, may be used to solve practically all sorts of quadratic problems.

Subtract -,3 from the x-terms.

Inside the parentheses, the coefficient of the linear term is -,1. Square it after dividing it by two. Insert that value between the parentheses. Determine how to recreate the original equation. Because we placed large1 over 4 within the parenthesis and factored out -,3 at the start, big -,3left(1 over 4 ight) = -,3 over 4 is the number we removed from the whole equation. To make up for this, we must put large3 over 4 outside the parentheses.

### Solve X^2+5X+6=0 By Completing The Square

x^{2}-5x+\left(-rac{5}{2}\sight) ^{2}=6+\left(-rac{5}{2}\sight) ^{2} -rac52 is obtained by dividing -5, the coefficient of the x term, by 2. Then, on both sides of the equation, add the square of -rac52. This step creates a perfect square on the left side of the equation. x^{2}-5x+rac{25}{4}=6+rac{25}{4} Square -rac52 by squaring both the fraction's numerator and denominator.

Select a solution technique Determine x. Discover the origins Solve the problem by factoring Complete the square to solve. Use the quadratic formula to solve. Determine break even points. Make a suggestion for a technique or feature. Send1 The quadratic formula is used to discover the roots of a polynomial of the type $ax2+bx+c$, where $a=1$, $b=5$, and $c=6$. Then, in the quadratic formula, replace the values of the equation's coefficients: $displaystyle x=rac-bpmsquaretb2-4ac2a$ $x=rac-5pm$12\$