Question

Solve the quadratic equation by formula method : 5x^2 = 4x + 7 ​

Answer 1

$\huge\tt{\bold{\underline{\underline{Question᎓}}}}$

Solve the quadratic equation by formula method : 5x^2 = 4x + 7

$\huge\tt{\bold{\underline{\underline{Answer᎓}}}}$

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$= > 5 {x}^{2} - 4x - 7 = 0$

Here we use quadratic formula to find out the roots:-

a=5;b=-4 &c=-7

$= > x = \frac{ - b± \sqrt{ {b}^{2} - 4ac} }{2a}$

$= > x = \frac{ - ( - 4)± \sqrt{ {( - 4)}^{2} - 4(5)( - 7) } }{2 \times 5}$

$= > x = \frac{4± \sqrt{16 + 140} }{10}$

$= > x = \frac{4± \sqrt{156} }{10}$

$= > x = \frac{4±2 \sqrt{39} }{10}$

Taking out 2 as common :-

$\bold{ = > x = \frac{2(2± \sqrt{39}) }{10} = \frac{2± \sqrt{39} }{5}} ✓$

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