Question

the roots of the equation 7x²+x-1=0 are real and distinct
1) true
2) false​

Answer 1

Answer:

2)FALSE

Step-by-step explanation:

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Answer 2

Question:

The roots of the equation $7x^{2}+x-1=0$ are real and distinct roots

$1)true$

$2)false$

Answer:

$1)true$

Given:

→An equation is given , $7x^{2}+x-1=0$

Step-by-step explanation:

$7x^{2}+x-1=0$

It is in the form of, $ax^{2}+bx-c=0$

$Here, a = 7 ,b = 1 ,c=-1$

We know that,

$Δ=b^{2}-4ac$

$⇒Δ=(1)^{2}-4×7×-1$

$⇒Δ=1+28=29$

$Now,<u>Δ=29\ge0</u>$

So, the Equation will be Real and distinct roots

More information:

Here, $b^{2}-4ac$ called as the Discrimination (which is denoted by Δ)of the quadratic equation , decides the nature of roots ad follows,

$Δ\ge0$⇒Real and unequal roots

Δ=0⇒Real and equal roots

Δ∠0⇒No real roots.

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