Answer:
x = 0.35 or x = -11.35
Step-by-step explanation:
Points to remember
Solution of a quadratic equation ax² + bx + c = 0
x = [-b ± √(b² - 4ac)]/2a
It is given that, x² = –11x + 4
x² + 11x - 4 = 0
To find the solution
Here a = 1, b = 11 and c = -4
x = [-b ± √(b² - 4ac)]/2a
x = [-11 ± √(11² - 4 * 1 * (-4))]/2*1
= [-11 ± √(121 + 16)]2
= [-11 ± √137]/2
= [-11 ± 11.70]/2
x = -11 + 11.70 or x = -11 - 11.70
x = 0.35 or x = -11.35
