Question

3х2 + 14х — 49 = 0solve for x

Answer 1

The given expression 3x^2 +14x-49=0

we will de factorization tos solve for x

`\begin{gathered} 3x^2+14x-49=0 \\ 3x^2-7x+21x-49=0 \\ (3x^2-7x)+(21x-49)=0 \\ \text{Taking x common from (}3x^2-7x)=x(3x-7) \\ \text{Taking 7 common from }(21x-49)=7(3x-7) \\ (3x^2-7x)+(21x-49)=0 \\ x(3x-7)+7(3x-7)=0 \\ \text{Taking (3x-7) common} \\ (3x-7)(x+7)=0 \\ \text{ Thus, for} \\ \text{(3x-7)=0} \\ 3x=7 \\ x=(7)/(3) \\ \text{and for (x+7)=0} \\ x+7=0 \\ x=-7 \end{gathered}`

The value of x is -7 and 7/3

Answer : x = -7 and x = 7/3