Question

Write each standard form:1. 7-4x=2x²2. 5+8x²=3x4. (x-2)(x+2) 5. 4x-6=106. 2x(x+3)=47. (x+1)²=08. (x+1)²=(x-4)²9. 3x(2x+5)=0

Answer 1

Given:

$\begin{gathered} 7-4x=2x^2 \\ 5+8x^2=3x \\ 4(x-5)=15 \\ (x-2)(x+2) \\ 4x-6=10 \end{gathered}$

Required:

To write the given equations in standard form.

Explanation:

Consider

$\begin{gathered} 7-4x=2x^2 \\ 2x^2+4x-7=0 \\ \\ 5+8x^2=3x \\ 8x^2-3x+5=0 \\ \\ 4(x-5)=15 \\ 4x-20-15=0 \\ 4x-35=0 \\ \\ (x-2)(x+2)=0 \\ x^2-2x+2x-4=0 \\ x^2-4=0 \\ \\ 4x-6=10 \\ 4x-6-10=0 \\ 4x-16=0 \end{gathered}$

Final Answer:

$\begin{gathered} 1)2x^2+4x-7=0 \\ \\ 2)8x^2-3x+5=0 \\ \\ 3)4x-35=0 \\ \\ 4)x^2-4=0 \\ \\ 5)4x-16=0 \end{gathered}$