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India
Class XI

Quadratic Solutions

Interactive practice questions

Below is the result after using the quadratic formula to solve an equation.

$x=\frac{-3\pm\sqrt{9-4\times56}}{16}$x=3±94×5616

Which of the following is true?

The equation has one real solution.

A

The equation has two real solutions.

B

The equation has complex solutions.

C
Easy
< 1min

Solve $\left(x+2\right)^2=-36$(x+2)2=36.

Write both roots on the same line, separated by a comma.

Easy
2min

Solve $\left(x+1\right)^2=-3$(x+1)2=3.

Write both roots on the same line, separated by a comma.

Easy
1min

Solve $\left(x+5\right)^2=-18$(x+5)2=18.

Write both roots on the same line, separated by a comma.

Easy
2min
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Outcomes

11.A.CNQE.1

Need for complex numbers, especially √-1, to be motivated by inability to solve every quadratic equation. Brief description of algebraic properties of complex numbers. Argand plane and polar representation of complex numbers. Statement of Fundamental Theorem of Algebra, solution of quadratic equations in the complex number system.

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