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{(25x^2)/(25)=(49)/(25)}`

`\textsf{Cancel out: }\mathsf{(25)/(25)}\textsf{ because it gives you 1}`

`\textsf{Keep: }\mathsf{(49)/(25)}\textsf{ because it helps us solve for x}`

`\textsf{New equation: }\mathsf{x^2 = (49)/(25)}`

`\textsf{TAKE the SQUARE ROOT}`

`\mathsf{x\pm \sqrt{(49)/(25)}}`

`\mathsf{\sqrt{(49)/(25)}= 1.4}`

`\mathsf{- \sqrt{(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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`\frak{Amphitrite1040:)}`