Question

Solve the quadratic equation plz.
x² - 46x + 168 = 0

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Answer 1

Required Answer:-

Given:

• x² - 46x + 168 = 0

To Find:

• The roots of the given equation.

Solution:

We have,

➡ x² - 46x + 168 = 0

We need to split -46 into two parts whose sum is -46 and product is 168.

We found,

➡ -42 - 4 = -46

➡ (-42) × (-4) = 168

So,

➡ x² - 42x - 4x + 168 = 0

➡ x(x - 42) - 4(x - 42) = 0

➡ (x - 4)(x - 42) = 0

By zero product rule,

➡ Either (x - 4) = 0 or (x - 42) = 0

➡ x = 4, 42

★ Hence, the roots of the quadratic equation are 4 and 42.

Answer:

• Roots are - 4 and 42.

Learn More:

• Quadratic Equation: An equation having degree (or highest power) 2 is called a quadratic equation. A Quadratic equation can have at most 2 solutions.