Question

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Answer 1

The number of real solution of the system y = $3x^2$ and y = 3x - 2 is zero

The system of equations are

y = $3x^2$

y = 3x - 2

Then the equation will be

$3x^2$ = 3x - 2

Move 3x - 2 to the left hand side of the equation

$3x^2$ - 3x + 2  = 0

Find the value of $b^2$ - 4ac

Here value of a = 3

The value of b = -3

The value of c = 2

Substitute the values in the expression

= $(-3)^2$ - 4×3×2

= 9 - 24

= -15

Here the value of  $b^2$ - 4ac is -15

Therefore there is no real valued solution

Hence, the number of real solution of the system y = $3x^2$ and y = 3x - 2 is zero

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