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zavuch27 [327]
3 years ago
14

Write the quadratic equation whose roots are 6 and 4, and whose leading coefficient is 4.

Mathematics
1 answer:
Tasya [4]3 years ago
4 0

\bf \begin{cases} x = 6\implies &x-6=0\\ x= 4\implies &x-4 = 0 \end{cases}\qquad \implies (x-6)(x-4)=\stackrel{y}{0} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\mathbb{F~~O~~I~~L}}{x^2-10x+24 = 0}\implies \stackrel{\textit{now we add a common factor of 4}~\hfill }{4(x^2-10x+24)=0\implies 4x^2-40x+96=y}

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