rolandjrankin
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what choices are solutions for equation x^2-3x = -5/4

Sagot :

Here's the solution,

=》

[tex] {x}^{2} - 3x = - \dfrac{5}{4} [/tex]

=》

[tex] {x}^{2} - 3x + \dfrac{5}{4} = 0[/tex]

now, let's multiply the whole equation with 4

=》

[tex]4 {x}^{2} - 12x + 5 = 0[/tex]

=》

[tex]4 {x}^{2} - 10x - 2x + 5= 0[/tex]

=》

[tex]2x(2x - 5) - 1(2x - 5) = 0[/tex]

=》

[tex](2x - 1)(2x - 5) = 0[/tex]

so,

Case 1. where, 2x - 5 = 0

=》

[tex]x = \dfrac{5}{2} [/tex]

case 2. where, 2x - 1 = 0

=》

[tex]x = \dfrac{1}{2} [/tex]

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