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

Question

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

in progress 0
Thu Cúc 4 years 2021-08-24T13:55:12+00:00 1 Answers 3 views 0

Answers ( )

  1. Vodka
    0
    2021-08-24T13:57:10+00:00
    Reply

    \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!}

    ~\frak{Amphitrite1040:)}

Leave an answer

Browse

Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )