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Standard VIII

Mathematics

Solving Equations with Variables on Both Sides

What are the ...

Question

What are the solutions of the equation $x^{2} + 8 x + 15 = 0$ ?

3, - 5

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3, 5

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5, - 3

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- 5, - 3

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Solution

The correct option is D $- 5, - 3$
$x^{2} + 8 x + 15 = 0 x^{2} + 5 x + 3 x + 15 = 0 (x + 5) (x + 3) = 0 x = - 5, - 3$

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Similar questions

Q. The number of real solutions of the equation

| x^{2} + 4 x + 3 | + 2 x + 5 = 0

are

Q. If the roots of

x^{2} + 8 x + 15 = 0

are -3 and -5, then the roots of

6 x^{2} + 48 x + 90 = 0

are .

Factorize $\sqrt{5}$ $x^{2}$ + 8x + 3 $\sqrt{5}$ = 0 into the form $\sqrt{5}$ $x^{2}$ + px + qx +3 $\sqrt{5}$ = 0.Find the value of p and q.

Q. Choose the correct answers for the following questions.
(1) Which one is the quadratic equation ?

(A)

\frac{5}{x} - 3 = x^{2}

(B) x(x + 5) = 2

(D)

\frac{1}{x^{2}} (x + 2) = x

(2) Out of the following equations which one is not a quadratic equation ?

(A) x² + 4x = 11 + x²

(B) x² = 4x

(D) 2x – x² = x² + 5

(3) The roots of x² + kx + k = 0 are real and equal, find k.

\sqrt{2} x^{2} - 5 x + \sqrt{2} = 0

find the value of the discriminant.

(A) –5

(B) 17

(C)

\sqrt{2}

(D)

2 \sqrt{2} - 5

(5) Which of the following quadratic equations has roots 3,5 ?

(A) x² – 15x + 8 = 0	(B) x² – 8x + 15 = 0
(C) x² + 3x + 5 = 0	(D) x² + 8x – 15 = 0

(6) Out of the following equations, find the equation having the sum of its roots –5.

(A) 3x² – 15x + 3 = 0	(B) x² – 5x + 3 = 0
(C) x² + 3x – 5 = 0	(D) 3x² + 15x + 3 = 0

(7)

\sqrt{5} m^{2} - \sqrt{5} m + \sqrt{5} = 0

which of the following statement is true for this given equation ?

(A) Real and uneual roots	(B) Real and equal roots
(C) Roots are not real	(D) Three roots.

(8) One of the roots of equation x² + mx – 5 = 0 is 2; find m.

(A) –2

(B)

- \frac{1}{2}

(C)

\frac{1}{2}

(D) 2

Q. The roots of the equation

\frac{3}{x - 5} + \frac{2 x}{x - 3} = 5

are (where

x \neq 3, 5

)

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What are the solutions of the equation x2+8x+15=0?

The correct option is D −5,−3x2+8x+15=0x2+5x+3x+15=0(x+5)(x+3)=0x=−5,−3

What are the solutions of the equation $x^{2} + 8 x + 15 = 0$ ?

The correct option is D $- 5, - 3$
$x^{2} + 8 x + 15 = 0 x^{2} + 5 x + 3 x + 15 = 0 (x + 5) (x + 3) = 0 x = - 5, - 3$