Question

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Answer 1

Q1.
`(2x-3)^(2)+3(x-4)=5+y\\`

`4x^(2) -12x+9+3x-12-5-y=0`

`4x^(2) -9x-8-y=0`

`4x^(2) -9x-8=y`

∴
`y = 4x^(2) -9x-8`

∴ From the quadratic equation above, a = 4, b = -9, and c = -8.

Q2.
`(x-5)^(2) -x^(2) =y`

`x^(2) -10x+25-x^(2) =y`

`-10x+25=y`

∴
`y = -10x + 25`

∴ The equation above is not a quadratic equation as it does not follow the format of ax² + bx + c.

Q3.
`2x(4x^(2) -4x+1)=y+x(8x)+4(2x)`

`8x^(3) -8x^(2) +2x-8x^(2) -8x=y`

∴
`y=8x^(3) -16x^(2) -6x`

∴ The equation above is not a quadratic equation as it does not follow the format of y = ax² + bx + c.