Question

QUADRATIC EQUATIONS
CLASS:10
1. The roots of the equation x + 7x + 10 =0 are
(a) 2 and 5 (b)-2 and
blue and 15/d) 2 and -5
2. If the equation x + 4x + k = 0 has real and distinct roots then
an
(a) k < 4
3. If the equation x
(a) a = 2
(b) k $14 (c) k =4 (d) k = - 4
ax +10 has two distinct roots then
(b) lak 21ea112 (d) none of these​

Answer 1

$\bigstar$$\boxed{\huge{\red{\mathfrak{Answer}}}}$$\bigstar$

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(1)

x + 7x + 10 = 0

x + 2x + 5x + 10 = 0

x ( x + 2 ) 5 ( x + 2 ) = 0

( x + 5 ) ( x + 2 ) = 0

x + 2 = 0 , x + 5 = 0

x = -2 , x = -5

The roots are -2 and -5 .

(2)

→ D › 0

→ b² - 4ac › 0

→ 16 - 4 × 1 × k › 0

→ 16 - 4k › 0

→ 4 - k › 0

→ k ‹ 4