Q:

The equation 3x2 = 6x – 9 has two real solutionsTrueO False

Accepted Solution

A:
Answer:FalseStep-by-step explanation:We first write the equation in the form ax² + bx + c=0 which gives us:3x² - 6x + 9=0Given the quadratic formula,x= [-b ±√(b²- 4ac)]/2a ,the discriminant proves whether the equation has real roots or not.The discriminant, which is the value under the root sign, may either be positive, negative or zero.Positive discriminant- the equation has two real rootsNegative discriminant- the equation has no real rootsZero discriminant - The equation has two repeated roots.In the provided equation, b²-4ac results into:(-6)²- (4×3×9)=36-108= -72The result is negative therefore the equation has no real solutions.