Question

Use the quadratic formula, solve the following quadratic equation 2x²-7x + 3 = 0​

Answer 1

Step-by-step explanation:

Quadratic formula :-

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

Comparing the Equation with $a {x}^{2} + bx + c$

we get,

a = 2, b = -7, c = 3

$x = \frac{ - ( - 7)± \sqrt{ {( - 7)}^{2} - 4(2)(3) } }{2(2)}$

$x = \frac{7± \sqrt{49 - 24} }{4}$

$x = \frac{7± \sqrt{25} }{4}$

$x = \frac{7±5}{4}$

$x = \frac{7 + 5}{4} \: \: and \: \: x = \frac{7 - 5}{4}$

$x = \frac{12}{4} \: \: and \: \: x = \frac{2}{4}$

$x = 3 \: \: and \: \: x = 0.5$

Answer 2

Step-by-step explanation:

REFER TO THE ATTACHMENT.....

HOPE IT HELPS YOU......