[tex]{\large{\textsf{\textbf{\underline{\underline{Given :}}}}}}[/tex]

▪ [tex]\small\bm{x^2-25=0}[/tex]

▪ [tex]\small\bm{x^2-100=0}[/tex]

▪ [tex]\small\bm{x^2+x-2}[/tex]

▪ [tex]\small\bm{5x^2+10=9}[/tex]

[tex]{\large{\textsf{\textbf{\underline{\underline{ Required:}}}}}}[/tex]

Write the equation in [tex]\bold{standard \: \: form}[/tex] then identify a,b, and c.

[tex]{\large{\textsf{\textbf{\underline{\underline{ Explanation:}}}}}}[/tex]

1.

[tex]\tt{{x}^{2} - 25 = 0 }[/tex]

[tex]\underline{\boxed{ \color{red}{\text{ \tt{ \: = x² - + 0x - 25 = 0 }}}}}\large{✓}[/tex]

• [tex]\sf{a= \: 1}[/tex]

• [tex]\sf{b= \: 0}[/tex]

• [tex]\sf{c= \: -25}[/tex]

2.

[tex]\tt{ x²-100=0}[/tex]

[tex]\underline{\boxed{ \color{red}{\text{ \tt{ \: = x²+0x-100=0}}}}}\large{✓}[/tex]

• [tex]\sf{a= \: 1}[/tex]

• [tex]\sf{b= \: 0}[/tex]

• [tex]\sf{c= \: -100 }[/tex]

3.

[tex]\underline{\boxed{ \color{red}{\text{ \tt{ =x²+x-2=0 }}}}}\large{✓}[/tex]

• [tex]\sf{a= \: 1}[/tex]

• [tex]\sf{b= \: 1}[/tex]

• [tex]\sf{c= \: -2}[/tex]

4.

[tex]\tt{ 5x²+10=9}[/tex]

[tex]\tt{ 5x²+10-9=0}[/tex]

[tex]\underline{\boxed{ \color{red}{\text{ \tt{ \: = 5x²+0x+1=0 }}}}}\large{✓}[/tex]

• [tex]\sf{a= \: 5}[/tex]

• [tex]\sf{b= \: 0}[/tex]

• [tex]\sf{c= \: 1}[/tex]

hope it helps ~