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what is the quadratic equation with a root ½ and root - ¾?​

Sagot :

Answer:

[tex]8x {}^{2} + 2x - 3 = 0[/tex]

Step-by-step explanation:

Solution:

[tex]8x {}^{2} + 2x - 3 = 0[/tex]

factor the equation:

[tex](2x - 1)(4x + 3) = 0[/tex]

Solve for the roots:

[tex]2x - 1 = 0[/tex]

[tex]2x = 0 + 1[/tex]

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

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

[tex]4x + 3 = 0[/tex]

[tex]4x = 0 - 3[/tex]

[tex] \frac{4x}{4} = \frac{ - 3}{4} [/tex]

[tex]x = - \frac{3}{4} [/tex]