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Intermediate Algebra

10th Edition
Jerome E. Kaufmann + 1 other
ISBN: 9781285195728

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Section
BuyFindarrow_forward

Intermediate Algebra

10th Edition
Jerome E. Kaufmann + 1 other
ISBN: 9781285195728
Textbook Problem

For Problems 31-40, solve the equation.

2 x 2 + 13 x + 15 = 0

To determine

To Solve:

The given equation.

Explanation

Procedure used:

Consider a generalised quadric equation ax2+bx+c=0 and the roots of the equation is α and β.

Sum of roots (α+β=ba)

Product of roots (αβ)=ca.

Therefore, the factors of generalise equation is (xα)(xβ) and the value of x as roots can be evaluate by equating (xα)(xβ)=0 equal to zero respectively.

Calculation:

The given equation is 2x2+13x+15=0.

Factorise the above equation,

2x2+13x+15=02x2+10x+3x+15=0

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