Algebra 2 | Unit 3 | Lesson 19: Real and Non-Real Solutions | Practice Problems

Without calculating the solutions, determine whether the equation has real solutions or not for \(-0.5x^2+3x=0\).

• 
• No real solutions

Without calculating the solutions, determine whether the equation has real solutions or not for \(x^2-4x+7=0\).

• 
• No real solutions

Without calculating the solutions, determine whether the equation has real solutions or not for \(2x^2-2x-1=0\).

• 
• No real solutions

Without calculating the solutions, determine whether the equation has real solutions or not for \(-0.5x^2+3x=3\).

• Real solutions

• No real solutions

Without calculating the solutions, determine whether the equation has real solutions or not for \(x^2-4x+7=5\).

• Real solutions

• No real solutions

Without calculating the solutions, determine whether the equation has real solutions or not for \(2x^2-2x-1=-4\).

• Real solutions

• No real solutions

Based on the graph of \(y=2x^2+0.5x-4\), what number could you put in the box to create an equation that has no real solutions? \(2x^2+0.5x-4 = \boxed{\phantom{30}}\).

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Without calculating the solutions, determine whether \(1.5x^2-3x+2=0\) has real solutions. Show how to solve \(1.5x^2-3x+2=0\).

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Write a quadratic equation that has two non-real solutions. How did you decide what equation to write?

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Find the solution or solutions to the equation: \(-2x^2+2x=2.5\).

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