Question

tìm a de da thuc f(x)=2(ax-3)+4 co nghiem la -1

Answer 1

Đa thức f(x)=2(ax-3)+4 co nghiệm là -1

=> x = -1

Ta có \(f\left(x\right)=0\)

\(\Leftrightarrow2\left(ax-3\right)+4=0\)

\(\Leftrightarrow2\left[a\left(-1\right)-3\right]+4=0\)(vì x = -1)

\(\Leftrightarrow-2a-6+4=0\)

\(\Leftrightarrow-2a-2=0\)

\(\Leftrightarrow-2a=2\)

\(\Leftrightarrow a=2:\left(-2\right)\)

\(\Leftrightarrow a=-1\)

Vậy a = -1

Answer 2

Theo đề ta có: 

\(f\left(-1\right)=2\left[a.\left(-1\right)-3\right]+4=0.\)

\(-2a-6+4=0\)

\(-2a=0+6-4\)

\(-2a=2\)

\(\Leftrightarrow a=-1\)