Question

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Answer 1

x = 0.39 or

x = -1.72

Explanation:

The quadrateic formula is:

`x = (-b\pm√(b^2 - 4ac) )/(2a)`

eq: 3x² + 4x - 2

which is of the form ax² + bx + c = 0

where a = 3, b = 4 and c = -2

sub in quadratic formuls,

`x = (-4\pm√(4^2 - 4(3)(-2)) )/(2(3))\\\\=(-4\pm√(16 + 24) )/(6)\\\\=(-4\pm√(40) )/(6)\\\\=(-4\pm2√(10) )/(6)\\\\=(-2\pm√(10) )/(3)\\\\=(-2+√(10) )/(3) \;or\;=(-2-√(10) )/(3)\\\\=0.39 \;or\; -1.72`