smc-4386-35-Quadratics (Non-monic)

Quadratics and Cubics, SMB-034

Solve the equation `21-4b^2=5b` for `b.` (2 marks)

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`b=7/4 \ text{or}\ -3`

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`4b-7`	`=0`	`text{or}\ \ \ \ b=-3`
`b`	`=7/4`

Solve the equation `12a^2+8a-15=0` for `a.` (2 marks)

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`x=5/6 \ text{or}\ -3/2`

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`12a^2+8a-15`	`=0`
`(6a-5)(2a+3)`	`=0`

`6a-5`	`=0`	`text{or}\ \ \ \ a=-3/2`
`a`	`=5/6`

Solve the equation `6p^2-p-7=0` for `p`. (2 marks)

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`x=7/6 \ text{or}\ -1`

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`6p^2-p-7`	`=0`
`(6p-7)(p+1)`	`=0`

`6p-7`	`=0`	`text{or}\ \ \ \ p=-1`
`p`	`=7/6`

Solve the equation `6x^2-3x-9=0` for `x`. (2 marks)

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`x=3/2 \ text{or}\ -1`

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`2x-3`	`=0`	`text{or}\ \ \ \ x=-1`
`x`	`=3/2`

Solve the equation `3q^2-10q-8=0` for `q.` (2 marks)

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`q=-2/3 \ text{or}\ 4`

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`3q^2-10q-8`	`=0`
`(3q+2)(q-4)`	`=0`

`3q+2`	`=0`	`text{or}\ \ q=4`
`q`	`=-2/3`

Which expression is equal to `3x^2-x-2`?

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`D`

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`3x^2-x-2= (3x + 2) (x-1)`

`=> D`