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11 votes
11 votes
solve the quadratic equation using the quadratic formula. Then solve the equation using another method. which method do you prefer? explain.

solve the quadratic equation using the quadratic formula. Then solve the equation-example-1
User SebasSBM
by
2.9k points

1 Answer

11 votes
11 votes

Given:

The quadratic equation is,


5x^2+38=3

Step-by-step explanation:

Simplify the equation.


\begin{gathered} 5x^2+38-3=0 \\ 5x^2+0\cdot x+35=0 \end{gathered}

For the given equation a = 5, b = 0 and c = 35.

The quadratic formula is,


x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}

Substitute the values in the equation to solve the equation.


\begin{gathered} x=\frac{-0\pm\sqrt[]{(0)^2-4\cdot5\cdot35}}{2\cdot5} \\ =\frac{\pm\sqrt[]{-700}}{10} \\ =\frac{\pm10\sqrt[]{7}i}{10} \\ =\pm√(7)i \end{gathered}

Second method:

Solve the equation.


\begin{gathered} 5x^2+38=3 \\ 5x^2=3-38 \\ x^2=-(35)/(5) \\ x=\pm\sqrt[]{-7} \\ =\pm\sqrt[]{7}i \end{gathered}

I prefer the second method for solving as quadratic equation donot have x terms, so it can be solved easily by combining the like terms.

If equation has x terms also and cannot split the middle terms then quadratic formula method is preffered.

Answer:


\pm\sqrt[]{7}i

Prefer second method as there are no x terms in quadratic equation, so it can be simplify easily by conbining like terms.

User Hoopje
by
2.7k points
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