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# Solve the Equation 4x2 – 5x – 3 = 0 and Give Your Answer Correct to Two Decimal Places - ICSE Class 10 - Mathematics

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#### Question

Solve the equation 4x2 – 5x – 3 = 0 and give your answer correct to two decimal places

#### Solution

Given equation is 4x2  -  5x - 3 = 0.

Comparing with ax2 + bx + c = 0,we get

a = 4, b = -5 and c = -3

:. x = (-b +- sqrt(b^2 - 4ac))/2a

= (-(-5)+-sqrt((-5)^2 - 4(4)(-3)))/(2xx4)

= (5 +-sqrt(25 + 48))/8

= (5+-sqrt(73))/8

= (5 +- 8.54)/8

= 13.54/8 or (-3.54)/8

= 1.6925 or - 0.4425

= 1.69 or -0.44

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#### APPEARS IN

2016-2017 (March) (with solutions)
Question 1.2 | 3.00 marks

#### Video TutorialsVIEW ALL [5]

Solution Solve the Equation 4x2 – 5x – 3 = 0 and Give Your Answer Correct to Two Decimal Places Concept: Quadratic Equations.
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