Write the word sentence as an equation.
2 answers:
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Answer:
The roots of given quadratic equation lies from
Step-by-step explanation:
Given as :
The quadratic equation is x² - x -6 = 0
The quadratic equation is in form of ax² + bx +c = 0
Let x1 and x2 be the roots of equation
Sum of roots
So,
And products of roots is x1 × x2 =
So,
Or, x1 + x2 = 1 ......A
And x1 × x2 =
Or, x1 × x2 = - 6
Now, (x1 - x2)² = (x1 + x2)²+ 4×x1×x2
Or, (x1 - x2)² = (1)²+ 4×6
Or, (x1 - x2)² = 25
So , x1 - x2 = = 5 ......B
Now solve eq A and eq B
Or, (x1 + x2) + (x1 - x2) = 1 +5
Or, 2 x1 = 6
∴ x1 = 3 And x2 = - 2
Hence The roots of given quadratic equation lies from Answer