Question

Consider the following quadratic equation: 25x2=16 Step 1 of 2 : Using the standard form ax2+bx+c=0 of the given quadratic equation, factor the left hand side of the equation into two linear factors.

Answer 1

rewrite the equation in the standard form ax² + bx + c = 0. In this case we have:25x² = 16

By dividing each term by 25, we obtain:

x² = 16/25

factorize the left side of the equation. We look for two linear factors which, when multiplied, give x².

x² = (x)²

right side of the equation: 16/25 = (4/5)²

Now we can rewrite the quadratic equation in its factored form:

(x)² = (4/5)²

the linear factors for the left side of the equation are (x) and (4/5).

Explanation: