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4.03 Solving quadratic equations using square roots

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+16x7=0?

Easy
< 1min

Is $x=\frac{8}{7}$x=87 a solution of $\left(7x-2\right)^2=37$(7x2)2=37?

Easy
< 1min

Is $x=-\frac{3}{4}$x=34 a solution of $20x^2=3-11x$20x2=311x?

Easy
1min
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Outcomes

II.A.CED.1

Create equations and inequalities in one variable and use them to solve problems.

II.A.CED.4

Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations; extend to formulas involving squared variables.

II.A.REI.4

Solve quadratic equations in one variable.

II.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.

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