Question

solve by using formula. 2x^-7x+3=0_____?​

Answer 1

$\huge\bf\underline{Question:}$

Solve:

$2 {x}^{2} - 7x + 3$

$\huge\bf\underline{Solution:}$

There many methods to solve the above quadratic equation.

1.Splitting the middle term

$\implies2 {x}^{2} - 7x + 3 \\ \implies2 {x}^{2} - 6x - x + 3 \\\implies 2x(x - 3) -1 (x - 3) \\\implies (x - 3)(2x - 1) \\\implies x = 3 \: or \: x = \frac{1}{2}$

2.Quadratic formula

$\implies \frac{ - b± \sqrt{ {b}^{2} - 4ac} }{2a } \\ \implies\frac{7± \sqrt{7 ^{2} - 4(2)(3) } }{2(2)} \\ \implies\frac{7± \sqrt{49 - 24} }{4} \\\implies \frac{7±5}{4} \\\implies x = \frac{2}{4} = \frac{1}{2} \: or \: x = \frac{12}{4} = 3$

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