Question

Using quadratic formula solve the the quadratic equation: 2x²-11x+9=0?​

Answer 1

Answer:

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Answer 2

Answer:

$x_{1} = \frac{9}{2} \: \: \: \: x_{2} = 1$

Step-by-step explanation:

We know,

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

where,

a = 2

b = -11

c = 9

Now,

Using quadratic formula, we get.

$x = \frac{ - ( - 11) \: ± \: \sqrt{( - 11) - 4 \times 2 \times 9} }{2 \times 2}$

$x = \frac{11 \: ± \: \sqrt{121 - 72} }{4}$

$x = \frac{11 \: ± \: \sqrt{49} }{4}$

$x = \frac{11 \: ± \: 7}{4}$

$x_{1} = \frac{11 + 7}{4} \: \: x_{2} = \frac{11 - 7}{4}$

$x_{1} = \frac{18}{4} \: \: \: \: \: x_{2} = \frac{4}{4}$

$x_{1} = \frac{9}{2} \: \: \: \: x_{2} = 1$

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