Topics
4. Quadratics
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Math 2

4.03 Solving quadratic equations using square roots

Lesson
Practice

Interactive practice questions

Is $y=-2$y=−2 a solution of $5y^2+4y=-12$5y2+4y=−12?

Yes

A

No

B
Easy
< 1min

Is $x=\frac{1}{4}$x=14​ a solution of $48x^2+16x-7=0$48x2+16x−7=0?

Easy
< 1min

Is $x=\frac{8}{7}$x=87​ a solution of $\left(7x-2\right)^2=37$(7x−2)2=37?

Easy
< 1min

Is $x=-\frac{3}{4}$x=−34​ a solution of $20x^2=3-11x$20x2=3−11x?

Easy
1min
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Outcomes

A-CED.1

Create equations and inequalities in one variable including ones with absolute value and use them to solve problems. Include equations arising from linear and quadratic functions, and simple rational and exponential functions

A-CED.4

Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations. [Include formulas involving quadratic terms.]

A-REI.4

Solve quadratic equations in one variable. [Quadratics with real coefficients]

A-REI.4.b

Solve quadratic equations by inspection (e.g. For x^2 = 49), taking square roots, completing the square, the quadratic formula and factoring, as appropriate to the initial form of the equation. Recognize when the quadratic formula gives complex solutions and write them as a ± bi for real numbers a and b. [Quadratics with real coefficients]

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