Chapter 9: Q. 9.54 (page 894)

Solve by using the Quadratic Formula: $25 t^{2} - 40 t = - 16$

Short Answer

Expert verified

The answer of the quadratic equation is $t = \frac{4}{5}$

Step by step solution

Given information

We are given a quadratic equation $25 t^{2} - 40 t = - 16$

identify the values of a,b,c

Firstly add $16$ on both sides

we get, $25 t^{2} - 40 t + 16 = 0$

On comparing with standard equation we get $a = 25, b = - 40, c = 16$

Write quadratic formula and substitute the values in it

The quadratic formula can be given as

$t = \frac{- b \pm \sqrt{b^{2} - 4 a c}}{2 a}$

On substituting the values we get

$t = \frac{40 \pm \sqrt{1600 - 4 (25) (16)}}{2 (25)}$

Simplify

On simplifying we have

$t = \frac{40 \pm \sqrt{1600 - 1600}}{50} t = \frac{40}{50} t = \frac{4}{5}$

Conclusion

The solution of the above quadratic equation is $t = \frac{4}{5}$

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Solve by using the Quadratic Formula: $25 t^{2} - 40 t = - 16$

Short Answer

Step by step solution

Given information

identify the values of a,b,c

Write quadratic formula and substitute the values in it

Simplify

Conclusion

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Solve by using the Quadratic Formula:25t2-40t=-16

Short Answer

Step by step solution

Given information

identify the values of a,b,c

Write quadratic formula and substitute the values in it

Simplify

Conclusion

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Mechanics Maths

Calculus

Logic and Functions

Pure Maths

Applied Mathematics

Study anywhere. Anytime. Across all devices.

Solve by using the Quadratic Formula: $25 t^{2} - 40 t = - 16$