There are times when we are stuck solving a quadratic equation of the form a{x^2} + bx + c = 0ax
2
+bx+c=0 because the trinomial on the left side can’t be factored out easily. It doesn’t mean that the quadratic equation has no solution. At this point, we need to call upon the straightforward approach of the quadratic formula to find the solutions of the quadratic equation or put simply, determine the values of xx that can satisfy the equation.
In order use the quadratic formula, the quadratic equation that we are solving must be converted into the “standard form”, otherwise, all subsequent steps will not work. The goal is to transform the quadratic equation such that the quadratic expression is isolated on one side of the equation while the opposite side only contains the number zero, 00.
ax²+bx+c=0
In this convenient format, the numerical values of aa, bb, and cc are easily identified! Upon knowing those values, we can now substitute them into the quadratic formula then solve for the values of xx.
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Answer:
There are times when we are stuck solving a quadratic equation of the form a{x^2} + bx + c = 0ax
2
+bx+c=0 because the trinomial on the left side can’t be factored out easily. It doesn’t mean that the quadratic equation has no solution. At this point, we need to call upon the straightforward approach of the quadratic formula to find the solutions of the quadratic equation or put simply, determine the values of xx that can satisfy the equation.
In order use the quadratic formula, the quadratic equation that we are solving must be converted into the “standard form”, otherwise, all subsequent steps will not work. The goal is to transform the quadratic equation such that the quadratic expression is isolated on one side of the equation while the opposite side only contains the number zero, 00.
ax²+bx+c=0
In this convenient format, the numerical values of aa, bb, and cc are easily identified! Upon knowing those values, we can now substitute them into the quadratic formula then solve for the values of xx.