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10m^2 - 11m + 4 = 0step by step

User Cvoinescu
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1 Answer

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16 votes

EXPLANATION

Given the equation 10m^2 - 11m + 4 = 0

We can see that this is a quadratic equation so we need to apply the quadratic formula as shown as follows:


m_(1,2)=\frac{-(-11)\pm\sqrt[]{(-11)^2-4\cdot10\cdot4}}{2\cdot10}

Simplifying:


m_(1,2)=\frac{11\pm\sqrt[]{121-160}}{20}
m_(1,2)=\frac{11\pm\sqrt[]{-39}}{20}

Separate the solutions:


m_1=\frac{11+\sqrt[]{39}i}{20}
m_2=\frac{11-\sqrt[]{39}i}{20}

Rewritting the expressions:


m_1=(11)/(20)+\frac{\sqrt[]{39}i}{20}
m_2=(11)/(20)-\frac{\sqrt[]{39}i}{20}

The solutions to the quadratic equations are:


m_{}=(11)/(20)+i\frac{\sqrt[]{39}}{20}
m=(11)/(20)-i\frac{\sqrt[]{39}}{20}

User Ukrutt
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