Question

$3 {x }^{2} + 2x - 7 = 0 \\ \\ solve \: using \: formula \: method$
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Answer 1

Answer:

Step by step explanation:

Given equation: 3x² + 2x - 7 = 0

Comparing the eq. with ax² + bx + c = 0, we get

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

Now, b² - 4ac = (2)² - 4 × 3 × (-7)

= 4 - (- 84)

= 88

Using formula,

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

$\tt {= \frac{ - 2 \: \pm \: \sqrt{88} \: }{6}}$

$\tt {x = \frac{ - 2 \: \ + \: \sqrt{88} \: }{6}} \: or \: \tt {= \frac{ - 2 \: - \: \sqrt{88} \: }{6}}$

This is the answer.

Answer 2

Refer the attachment.