Formula: x= b±√(b^2 4ac)2a Given, 4x^2 7x+5=0 Therefore, x= ( 7)+√(( 7)^2 4· 4· 5)2· 4 =7±√(31)i8 x=78± i√(31)8 Hence, this is the answer. ...

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Binomial Expression

Solve 4x2-7x...

Question

Solve
$4 x^{2} - 7 x + 5$

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Solution

Formula:
$x = \frac{- b \pm \sqrt{b^{2} - 4 a c}}{2 a}$

Given,
$4 x^{2} - 7 x + 5 = 0$

Therefore,
$x = \frac{- (- 7) + \sqrt{{(- 7)}^{2} - 4 \cdot 4 \cdot 5}}{2 \cdot 4}$
$= \frac{7 \pm \sqrt{31} i}{8}$
$x = \frac{7}{8} \pm i \frac{\sqrt{31}}{8}$

Hence, this is the answer.

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