Question

Solve 2x^2+x-6=0

1. {-3/2, 2}

2. {}

3. {-2, 3/2}

Answer 1

Explanation:

answer- {-2, 3/2}

steps are in the image.

Answer 2

3. {-2, 3/2}

Explanation:

`\mathrm{Solve\;with\;the\;quadratic\;formula}`

`x_(1,\:2)=(-1\pm √(1^2-4\cdot \:2\left(-6\right)))/(2\cdot \:2)`

`√(a^1-4*2(-6)=7)`

`x_(1,\:2)=(-1\pm \:7)/(2\cdot \:2)`

`\mathrm{Separate\:the\:solutions}`

`x_1=(-1+7)/(2\cdot \:2),\:x_2=(-1-7)/(2\cdot \:2)`

`x=(-1+7)/(2*2):(3)/(2)`

`x=(-1+7)/(2*2):-2`

`\mathrm{The\:solutions\:to\:the\:quadratic\:equation\:are:}`

`x=(3)/(2),\:x=-2`

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