(D) Given equation: $(x+2)^{2} = 16$Taking the square root on both sides: $x+2 = \pm 4$Case $1$: $x+2 = 4 \implies x = 4-2 = 2$Case $2$: $x+2 = -4 \im

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(D) Given equation: $(x+2)^{2} = 16$Taking the square root on both sides: $x+2 = \pm 4$Case $1$: $x+2 = 4 \implies x = 4-2 = 2$Case $2$: $x+2 = -4 \implies x = -4-2 = -6$Therefore,the roots are $2$ and $-6$.

Class 10 Mathematics Quadratic Equations Mix Examples - Quadratic Equations

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The roots of a quadratic equation $(x+2)^{2}=16$ are ..... .

A
$2$ and $3$
B
$3$ and $4$
C
$6$ and $-2$
D
$-6$ and $2$

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Mix Examples - Quadratic Equations

Who gave the general formula to solve quadratic equations?

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The value of discriminant $D$ for the equation $(3x - 14)^2 = 0$ is ........

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While selling a flowerpot for Rs. $96$,the profit percentage is equal to its cost price in rupees. Find the cost price of the flowerpot.

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Verify whether the given value of $x$ is a solution of the quadratic equation or not: $x^{2}+\sqrt{2}x-4=0$; $x=-2\sqrt{2}$.

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If $x=\sqrt{2}$ is one of the roots of the equation $ax^{2}+\sqrt{2}bx+2c=0$; $a \neq 0$,$a, b, c \in R$,then prove that $a+b+c=0$.

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The roots of a quadratic equation $(x+2)^{2}=16$ are ..... .

Similar Questions

Who gave the general formula to solve quadratic equations?

The value of discriminant $D$ for the equation $(3x - 14)^2 = 0$ is ........

While selling a flowerpot for Rs. $96$,the profit percentage is equal to its cost price in rupees. Find the cost price of the flowerpot.

Verify whether the given value of $x$ is a solution of the quadratic equation or not: $x^{2}+\sqrt{2}x-4=0$; $x=-2\sqrt{2}$.

If $x=\sqrt{2}$ is one of the roots of the equation $ax^{2}+\sqrt{2}bx+2c=0$; $a \neq 0$,$a, b, c \in R$,then prove that $a+b+c=0$.

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