-3x² + 5x + 12 = 0, find the roots of the quadratic equations by using the quadratic formula
Solution:
Given, the quadratic equation is -3x² + 5x + 12 = 0
We have to find the roots of the equation.
By using the quadratic formula,
x = [-b ± √b² - 4ac]/2a
The equation can be written as -(3x² - 5x - 12) = 0
3x² - 5x - 12 = 0
Here, a = 3, b = -5 and c = -12
b² - 4ac = (-5)² - 4(3)(-12)
= 25 + 144
= 169
x = [5 ± √169]/2(3)
x = [5 ± 13]/6
Now, x = (5+13)/6 = 18/6 = 3
x = (5-13)/6 = -8/6 = -4/3
Therefore, the roots of the equation are -4/3 and 3.
✦ Try This: Find the roots of the quadratic equation 8x² + 5x - 8 = 0 using the quadratic formula
☛ Also Check: NCERT Solutions for Class 10 Maths Chapter 4
NCERT Exemplar Class 10 Maths Exercise 4.3 Problem 1 (iii)
-3x² + 5x + 12 = 0, find the roots of the quadratic equations by using the quadratic formula
Summary:
The roots of the quadratic equation -3x² + 5x + 12 = 0 by using the quadratic formula are 3 and -4/3
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