Question

Using ax^2 + bx + c = 0 factor 25x^2 = 49 into two linear factors

Answer 1

$\huge\text{Hey there!}$

$\mathsf{25x^2=49}$

$\textsf{DIVIDE by 25 to BOTH SIDES}$

$\mathsf{\dfrac{25x^2}{25}=\dfrac{49}{25}}$

$\textsf{Cancel out: }\mathsf{\dfrac{25}{25}}\textsf{ because it gives you 1}$

$\textsf{Keep: }\mathsf{\dfrac{49}{25}}\textsf{ because it helps us solve for x}$

$\textsf{New equation: }\mathsf{x^2 = \dfrac{49}{25}}$

$\textsf{TAKE the SQUARE ROOT}$

$\mathsf{x\pm \sqrt{\dfrac{49}{25}}}$

$\mathsf{\sqrt{\dfrac{49}{25}}= 1.4}$

$\mathsf{- \sqrt{\dfrac{49}{25}}= -1.4}$

$\boxed{\boxed{\large\text{Answer: \huge \bf x = 1.4 or x = -1.4}}}\huge\checkmark$

$\text{Good luck on your assignment and enjoy your day!}$

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