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Chapter 9: Q.121 (page 898)

In the following exercises, solve by using the Quadratic Formula:3u2+7u-2=0

Short Answer

Expert verified

The solution of the equation isu=-13;u=-2

Step by step solution

01

Given information

We are given a quadratic equation is3u2+7u-2=0

02

Identify the values of a,b,c

On comparing with standard equation we geta=3,b=7,c=-2

03

Write quadratic formula and substitute the values in it

The quadratic formula can be given as

u=-b卤b2-4ac2a

On substituting the values we get,

u=-7卤49-4(3)(-2)2(3)

04

Simplify

On simplifying we get

u=-7卤49-246u=-7卤256u=-7卤56

On further simplifying we get

u=-7+56u=-26u=-13andu=-7-56u=-126u=-2

05

Conclusion

The solution of the quadratic equation isq=13,q=-2

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